Answer:
[tex]25x^2-64[/tex]
Step-by-step explanation:
Remember that the formula for the difference of squares is [tex]a^2-b^2=(a+b)(a-b)[/tex]. The formula implies that if (5x - 8) is a factor, then (5x + 8) is the other factor. We can use our formula to find which one is our difference of squares:
[tex](5x-8)(5x+8)=(5x)^2-8^2[/tex]
[tex](5x-8)(5x+8)=5^2x^2-64[/tex]
[tex](5x-8)(5x+8)=25x^2-64[/tex]
We can conclude that the correct answer is [tex]25x^2-64[/tex].
