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Factorise the following by using suitable identities.$(x+y)^2- (x-y)^2$
Given:
$(x+y)^2- (x-y)^2$
To do:
We have to factorise the given expression using suitable identities.
Solution:
We know that,
$a^2-b^2=(a-b)(a+b)$
Therefore,
$(x+y)^2- (x-y)^2=[(x+y)-(x-y)][(x+y)+(x-y)]$
$=(x+y-x+y)(x+y+x-y)$
$=(2y)(2x)$
$=4xy$
Therefore, $(x+y)^2- (x-y)^2=4xy$.
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