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Factoring when there is a Difference of Squares

Factoring when there is a Difference of Squares. Difference of Squares. If you have the difference of two quantities squared, it easily factors: a 2 – b 2 = ( a + b )( a – b ) Completely factor the following: Ex 1: x 2 – 144 Ex 2: 25x 2 – 121 Ex 3: 36x 2 – y 2 z 2 . = x 2 – 12 2.

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Factoring when there is a Difference of Squares

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  1. Factoring when there is a Difference of Squares

  2. Difference of Squares If you have the difference of two quantities squared, it easily factors: a2 – b2 = ( a + b )( a – b ) Completely factor the following: Ex 1: x2 – 144 Ex 2: 25x2 – 121 Ex 3: 36x2 – y2z2 = x2– 122 = ( x + 12 )( x – 12 ) = (5x)2 – 112 = ( 5x + 11 )( 5x – 11 ) = (6x)2 – (yz)2 = ( 6x + yz )( 6x – yz )

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