Question

completely factor the polynomial, if possible.

\\25x^2 - y^2\\

Explanation:

Identify the structure of the polynomial

Using the Difference of Squares knowledge point

$$ 25x^2 - y^2 = (5x)^2 - (y)^2 $$

Apply the factoring formula

Using the Difference of Squares and Factoring Polynomials knowledge points

$$ a^2 - b^2 = (a - b)(a + b) $$

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

Answer:

\((5x - y)(5x + y)\)