Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

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

Explanation:

Identify the polynomial structure

Using the Difference of Squares knowledge point

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

Apply the factoring formula

Using the Difference of Squares knowledge point

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

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

Answer:

Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable".

\(9x^2 - y^2 =\) <blank>\((3x - y)(3x + y)\)</blank>