Factorize 16x2-81y2
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Rewrite 81y2 81 y 2 as (9y)2 ( 9 y ) 2 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=4x a = 4 x and b=9y b = 9 y .
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