All categories

2 years ago

Is the following expression true or false? Show your work.

Mathematics

1 answer:

SOVA2 [1]2 years ago

7 0

Answer:

The expression is true.

Explanation:

$(x^2+8x+16)(x^2-8x+16)=(x+4)^2(x-4)^2=((x+4)(x-4))^2$

We know that (a +b)(a-b) = a²-b²

So we have ,

$((x+4)(x-4))^2=(x^2-4^2)^2=(x^2-16)^2$

Which is Right Hand Side given.

So, the expression is true.

You might be interested in

The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff. What is the init

Gwar [14]

Did you ever get this answer?? I really need it

4 0

3 years ago

Read 2 more answers

Timmy estimated he would spend $9 at the candy store. He went a little over-budget and spent $12. What was the percent error?

kap26 [50]

<h2>Answer :</h2>

Error (e) = 12 - 9 = $ 3

assumed value (a) = $ 9

$\boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}$

$\mathrm{ \% \: error =\dfrac{3}{9} ×100}$

$\mathrm{ \% \: error = \dfrac{1}{3} ×100}$

$\mathrm{ \% \: error = 33.33 \%}$

_____________________________

$\mathrm{ \#TeeNForeveR}$

8 0

2 years ago

What is dislocation

Sati [7]

Answer:

The distance between the starting point and the end point

Step-by-step explanation:

6 0

2 years ago

(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials

Anika [276]

Answer:

2x + 1

Step-by-step explanation:

$\frac{(2x² - 5x-3)}{(x - 3)}$

Factor out 2x² - 5x-3

$\frac{(2x + 1)(x - 3)}{x - 3}$

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

Equation at the end of step 1

STEP

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0

1 year ago

Can anybody explain how to subtract mixed fractions?

Ilya [14]

Answer:

<em>convert </em>the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.
if the denominators are not the same, work out the common denominator and <em>rewrite </em>the fractions with the same denominators
subtract by subtracting the numerators and writing the result over the denominator
convert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

$3\frac23-1\frac45$