Question

completely factor the polynomial, if possible.

\\y^2 - 9x^2\\

Explanation:

Identify the structure of the polynomial

Using the Difference of Squares knowledge point

$$ y^2 - 9x^2 = (y)^2 - (3x)^2 $$

Apply the factorization formula

Using the Difference of Squares knowledge point

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

$$ (y)^2 - (3x)^2 = (y - 3x)(y + 3x) $$

Answer:

\((y - 3x)(y + 3x)\)