Respuesta :
Answer:
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
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
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