Question

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

Answer 1

Answer:

$25x^2-64$

Step-by-step explanation:

Remember that the formula for the difference of squares is $a^2-b^2=(a+b)(a-b)$. 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:

$(5x-8)(5x+8)=(5x)^2-8^2$

$(5x-8)(5x+8)=5^2x^2-64$

$(5x-8)(5x+8)=25x^2-64$

We can conclude that the correct answer is $25x^2-64$.