Question

How to factorize this Quadratic Equation : - 9x^2-4y^2

Answer 1

Rewrite, 9 x ²as  ( 3 x ) ² .

( 3 x ) ²− 4 y ²

Rewrite,  4 y ² as  ( 2 y ) .

( 3 x ) ² − ( 2 y ) ²

Since both terms are perfect squares, factor using the difference of squares formula,  a ² − b ²=  ( a + b )  ( a − b )  where  a = 3 x  and  b = 2 y .

( 3 x + 2 y ) ( 3 x − ( 2 y ) )

Multiply,  2  by  − 1.

( 3 x + 2 y ) ( 3 x − 2 y )