Factorice 16(x-y)²-9(x+y)²
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Here is your answer
16 ( x - y )^2 - 9 ( x + y )^2
= [ 4 ( x - y ) ]^2 - [ 3 ( x + y ) ]^2
According to a^2 - b^2 = ( a + b )( a - b )
= [ 4 ( x - y ) + 3 ( x + y ) ][ 4 ( x - y ) - 3 ( x + y )]
= ( 4x - 4y + 3x + 3y )( 4x - 4y - 3y - 3x )
= ( 7x - y )( x - 7x )
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