Give the final factored form of the expression [tex]x^2 - 9y^2[/tex]. Provide an explanation and identify the type of factoring used.

( x 2 − 9 y 2 ) = ( x 2 − ( 3 y ) 2 ) = ( x − 3 y ) ( x + 3 y ) ( a 2 − b 2 ) = ( a − b ) ( a + b )

Answered by konrad509 | 2024-06-10

The expression x 2 − 9 y 2 can be factored using the difference of squares method. The final factored form is ( x − 3 y ) ( x + 3 y ) . This is achieved by recognizing that 9 y 2 is a perfect square, ( 3 y ) 2 .
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Answered by konrad509 | 2024-12-26