Answer
$$(5a + 7b)(5a - 7b)$$
Work Step by Step
To factor the difference of two squares, we use the formula:
$$A^2 - B^2 = (A + B)(A - B)$$
For this binomial, we take the square root of the leading coefficient $(25)$ to get $A = 5$ and the square root of the constant $(49)$ to get $B = 7$.
So we now plug these two values into the formula for factoring the binomial:
$$(5a + 7b)(5a - 7b)$$
