Use the difference of squares pattern to factor the polynomial. $$x ^ { 2 } - 9 y ^ { 2 }$$
A)( x - 9 y )( x + 9 y )
B)( x + 3 y )( x + 9 y )
C)( x - 3 y )( x + 3 y )
D)( x - 3 y )( x - 9 y )
E)none of these

Question

Quizplus · Accepted Answer

This polynomial can be written as $(x)^2 - (3y)^2$, which fits the difference of squares pattern. Using the pattern, we get that $(x)^2 - (3y)^2 = (x + 3y)(x - 3y)$. Therefore, the answer is choice C.

Use the Difference of Squares Pattern to Factor the Polynomial x2−9y2x ^ { 2 } - 9 y ^ { 2 }x2−9y2

Use the Difference of Squares Pattern to Factor the Polynomial $x ^ { 2 } - 9 y ^ { 2 }$