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Factor 9(x+y)^2 - (x-y)^2 |
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Answer» Answer: Enter a problem... Algebra Examples Popular Problems Algebra Factor 9-(x+y)^2 9 − ( x + y ) 2 9-(x+y)2 9 9 as 3 2 32. 3 2 − ( x + y ) 2 32-(x+y)2 Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b ) a2-b2=(a+b)(a-b) where a = 3 a=3 and b = x + y b=x+y. ( 3 + x + y ) ( 3 − ( x + y ) ) (3+x+y)(3-(x+y)) Apply the distributive PROPERTY. ( 3 + x + y ) ( 3 − x − y ) (3+x+y)(3-x-y) Factor. Tap for more STEPS... ( 3 + x + y ) ⋅ − 1 ( x + y − 3 ) (3+x+y)⋅-1(x+y-3) Factor out negative. − ( ( 3 + x + y ) ( x + y − 3 ) ) -((3+x+y)(x+y-3)) REMOVE unnecessary parentheses. − ( 3 + x + y ) ( x + y − 3 ) -(3+x+y)(x+y-3) |
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