Answer:
option (3) is correct.
[tex]25x^2-64[/tex]
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 [tex]a^2-b^2=(a+b)(a-b)[/tex]
a difference of squares is written mathematically as [tex]a^2-b^2[/tex]
Since one factor is 5x − 8
using identity stated above other factor has be 5x+8
Thus [tex](5x+8)(5x-8)[/tex]
On simplify , we get
[tex](5x+8)(5x-8)=(5x)^2-8^2=25x^2-64[/tex]
Thus, option (3) is correct.
