Question

I'm timed!!! Please help me.

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

Answer 1

25x2-64



Step by step equation

Given Factor: factor 5x-8

We have to choose the expression out of given option that the difference squares of the factor of 5x-8

Using algebraic identity: a2-b2=(a+b)(a-b)
a difference squares is written mathematically as a2-b2
Since one factor is 5x-8
Using identity stated above other factor has been 5x+8
Thus(5x+8)(5x-8)
So it should be like this
(5x+8)(5x-8)=(5x)2-8^2=25x2-64

Answer 2

ok so differnce of 2 perfect ssquares are

x^2-y^2=(x-y)(x+y)

we are given

one factor is 5x-8

remember that all you do is square both terms individually to get them

(5x)^2=25x^2

8^2=64

they are difference so

25x^2-64 is answer