Resolve into factors:(x+y)^2- (x-y)^2
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Answer:
(x+y)²-(x-y)² = 4xy
Step-by-step explanation:
(x+y)²-(x-y)²
= [(x+y)+(x-y)][(x+y)-(x-y)]
/* By algebraic identity:
a²-b² = (a+b)(a-b) */
= (x+y+x-y)(x+y-x+y)
= (2x)(2y)
= 4xy
Therefore,
(x+y)²-(x-y)² = 4xy
•••♪
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