Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.

Encuentra En Cada Producto Notable El Error O Errores,encirralo Y Escribe El Resultado Correcto.

Answers

Answer 1

Given:

The equation is:

[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]

To find:

The error in the given equation and correct it.

Solution:

We have,

[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]

Taking left-hand side, we get

[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]

[tex]L.H.S.=(2x)^2-(3y)^2[/tex]                 [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex]       [tex][\because (ab)^x=a^xb^x][/tex]

[tex]L.H.S.=4x^2-9y^2[/tex]

It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.

Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].


Related Questions

Which is longer - the radius or the circumference of a circle?

Answers

circumference because radius is about half a circle

Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

Given this number line, ab=

Answers

Answer:

3

Step-by-step explanation:

7 -4 = 3

The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?

Answers

Answer:

97,988.216

Step-by-step explanation:

So, we can find this by using the following formula:

First value(change)^time

We know that the orginal, or first value, is 120,000.

We know that the time interval for this is 8 years, which is our time value.

We know that the decrease in this price is 2.5%. However, this is not our change.

Our change is the 97.5% price that is left.

This makes sense, because you would get a super small price when you use 2.5% as change.

So to sum up what we have done so far:

First value - 120,000

Change - 100%-2.5% = 97.5%. In decimal form: 0.975

Time - 8

So lets plug these into:

[tex]First_.value(change)^t^i^m^e[/tex]

=

[tex]120,000(0.975)^8[/tex]

And remember your order of operations here.

We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.

We have the exponent 8, which is attached to the 0.975.

So in your calculator, take 0.975, and put it to the 8th power.

You should get 0.816651803662261962890625

Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.

Now  our equation looks like:

120,000(0.816651803662261962890625)

We have done parethese, exponents - now we have multiplication and division.

We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:

[tex]120,000*0.816651803662261962890625[/tex]

Now multiplying this you should get:

97,998.216439471435546875

This is where you can round your answer.

I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:

97,998.22

So this is the new price of the car!

Hope this helps!

oh I did a mistake earlier , pardon ^^"

Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 years

Let price after 8 years be P.

Using the compound interest formula of shrinking principal :-

P = Pₒ( 1 - R/ 100) ᵀ

P = 120, 000 ( 1 - 2.5/ 100)ᵀ

P = 120, 000 { (100 - 2.5)/ 100}ᵀ

P = 120, 000{ 97. 5/ 100 }ᵀ

P = 120, 000 {0. 975 } ⁸

P = 120, 000 { 0. 8166}

P = 97,998.216 $

Since, P is is price after 8 years

Answer:-

The price of the car after 8 years will be 97, 998. 216 $

You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?

Answers

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

The volume of a rectangular prism is 840 in3. If the area of the base 60 in2 , find its height. Draw and label a model to show your thinking.

Answers

Answer:

14in

Step-by-step explanation:

Given data

Volume of prism= 840in^3

Base= 60 in^2

Height=????

The expression for the volume is given as

V= L*B*H

V= Area*H

840=60*H

Divide both sides by 60

H= 840/60

H= 14 in

Hence the height is 14in

2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?​

Answers

Answer:

5 < L < 18,5

5 < L < 18,52 < W < 5,5

Step-by-step explanation:

longeur = length = L

largeur = width = W

L = 3W +2

12 < 2L+2W < 48

———————————————

12 < 2*(3W+2)+2W < 48

12 < 6W+4 +2W < 48

12 < 8W+4 < 48

8 < 8W < 44

2 < W < 5,5

———————————————

12 < 2L+2W < 48

L = 3W +2

L - 2 = 3W

L/3 -2/3 = W

12 < 2L +2*(L/3 -2/3) < 48

12 < 2L + ⅔L -4/3 < 48

12 < 2⅔L -4/3 < 48

13⅓ < 2⅔L < 49⅓

5 < L < 18,5

hope it helps.

brainly exists in French too. brainly.fr or switch country in app

Brainliest goes to whoever answers correctly I have other questions if you want more points

Answers

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

What is the length of the apothem if each side of the hexagon is 4 in long? I will reward brainliest to best answer :))))

Answers

Is answer C trust the process

17 points Please help me with the answer and understanding

•Please actually help me out I want to better understand this

•trolls will be reported

Answers

Because the graph is starting high and going down, your answer is c- exponential decay

Answer:

This is exponential decay.

Step-by-step explanation:

Lets break down the answers:

A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.

B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.

C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.

D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.

If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?

Answers

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

plss Pa answer po!!!!!!!!!!!!!​

Answers

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

Mr. Barnes painted a mural on the office wall.
The rectangular mural is 36 inches long and 24
inches wide. What is the area of the mural?

Answers

Answer:864

Step-by-step explanation:

36*24=864

P(x)=1−2x2+3x+2x5 what type of polynomial is this?

Answers

There is only one x with no powers
P(x) = 3x + 7 a linear function

Moesha cuts a spherical orange in half along a great circle. The radius of the orange is
2 inches. Find the approximate total volume of the orange to the nearest tenth of a cubic inch

Answers

The nearest tenth, the total volume of the orange is approximately 33.5 cubic inches.

To find the volume of a sphere, we use the formula:

[tex]Volume = (4/3) \times \pi \times radius^3[/tex]

Given that the radius of the orange is 2 inches, we can substitute this value into the formula:

[tex]Volume = (4/3) \times 3.14 \times 2^3[/tex]

Simplifying this calculation:

[tex]Volume = (4/3) \times 3.14 \times 8[/tex]

Volume = 33.49333333..

Note: To calculate the volume of a three-dimensional object, you need to know the appropriate formula based on the shape of the object.

Here are the formulas for calculating the volume of some common three-dimensional shapes:

Sphere: Volume[tex]= (4/3) \times \pi \times radius^3[/tex].

For similar question on sphere.

https://brainly.com/question/30722062

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a rectangle has the height of n^3 + 4n^2 and the width of n^3 + 5n^2

Answers

Answer:

2^3

Step-by-step explanation:

2. Which relations are functions? Explain. For each graph, state the domain and range.

Answers

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

−3x + 3 < 6 can someone help

Answers

Answer:

X > -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x < -1

Step-by-step explanation:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

I need help can anyone help me

Answers

Answer:

480 in^3

Step-by-step explanation:

If I'm wrong please correct me. I used the formula-lwh for each of the figures and then added them to find the sum.

Larger figure: 8 times 10 times 5

80 times 5=400

Smaller figure: 5 times 4 times 4

20 times 4=80

400 plus 80 equals 480 in^3

Hope I helped :)

What is the surface area of the regular pyramid below? 19 16 16

A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²​

Answers

Answer:

A. 864 units²

Step-by-step explanation:

(16×16)+(4×½×16×19)

= 256 + 608

= 864

The surface area of the regular pyramid is S = 864 units²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Now , let the base area of the pyramid be B

where the side length of the pyramid is a = 16 units

So , B = 16² units² = 256 units²

And , let the height of the pyramid be h = 19 units

And , the perimeter of the pyramid P = 4 x 16 = 64 units

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

On simplifying , we get

S = 256 + ( 1/2 ) ( 64 x 19 )

S = 256 + 608

S = 864 units²

Hence , the surface area is 864 units²

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

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Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section.

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.

Please explain in detail, I am confused

Answers

Answer:

read the comments i cant help you yet but if you read the comments and do what they say then i can help you

Step-by-step explanation:

Jasmine bought a new IPhone for $1000. The value of the phone depreciates 9% each year. What will the phone be worth after 4 years?​

Answers

The phone will be worth 685.74$

What is the inverse function of f(x) = x/x-2

Answers

F-1(x)=2x/x-1
Is the correct answer

The Answer is A because it's Marie and I have been working with the other kids Jimmie I know I did it

4) Determine the solution. Show your work.
17 + x2 = 42

Answers

Answer:    x = 5 or x = -5

================================================

Work Shown:

17 + x^2 = 42

x^2 = 42-17

x^2 = 25

x = sqrt(25)  or  x = -sqrt(25)

x = 5 or x = -5

A soccer ball has an original price of $40. But, the soccer ball is on sale and is now 30% off. How much money will you save?

Answers

Final price: $29.68

Savings: $12.72

Answer:

We would have saved $12.

Step-by-step explanation:

First off, we know that the original price is $40.

Since the ball is 30% off, we'll multiply $40 by 70% to find the price it's sold by after the discount. 70% in decimal form is 0.70, so we would multiply 40(0.70)

40(0.70) = 28

This means that after a 30% discount, the price of the soccer ball is $28.

To find how much we saved, we would subtract $28 from $40.

40-28 = $12

$12 is the amount of money you saved.

Find the measure of DAE

Answers

I can't see the picture, can you add it again so I can help?

Can someone help me on number 5!!!

Answers

f(x).g(x)

(2x-1).(3)

answer: 6x-3

Help this is confusing

Answers

what is confusing???

Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the second pen. What is the fraction of the ink remaining in the two pens together?

Answers

Answer:

0.58333333333 Or 0.58333333333/100000000000

Step-by-step explanation:

Help if you can. Thank You.

Answers

Answer:

[tex]Given:-[/tex] Δ ABC

[tex]AC~is~exteuded ~through ~C~to ~D[/tex]

[tex]BC~is ~drawn ~to ~AC[/tex]

[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]

1) =∠3+∠4 and ∠4=∠5+∠6

∠7=∠3+∠2

So, only D) m∠7=m∠3+m∠2 is correct

---------------------------

hope it helps..

have a great day!!

Which expression is equivalent to

Answers

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

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