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.
