Question

Which expression is a difference of squares with a factor of 5x − 8?

Answer 1

A2 - b2 = (a-b)(a+b)

(5x-8)(5x+8) = 25x2 - 64

answer: 25x2 - 64

Answer 2

Answer:

option  (3) is correct.

$25x^2-64$

Step-by-step explanation:

 Given :  factor 5x − 8

We have to choose an expression out of given option that is a difference of squares with a factor of 5x − 8

Using  algebraic identity $a^2-b^2=(a+b)(a-b)$

a difference of squares is written mathematically as $a^2-b^2$

Since one factor is 5x − 8

using identity stated above other factor has be 5x+8

Thus $(5x+8)(5x-8)$

On simplify , we get

$(5x+8)(5x-8)=(5x)^2-8^2=25x^2-64$

Thus, option  (3) is correct.