Question

*(x+y)2 – (x-y)2 equal to​

Answer 1

Answer:

4xy

Step-by-step explanation:

=(x+y+x-y) (x+y-x+y)

=2x×2y

Answer 2

$\huge{\underline{\underline{\pink{Ans}\red{wer:-}}}}$

$\bold{(x+y)^{2}-(x-y)^{2}=4xy}$

$\huge\orange{Given:-}$

$\bold{=>(x+y)^{2}-(x-y)^{2}}$

$\bold\blue{Explanation:}$

$\bold{Identities \ are:}$

$\bold{(a+b)^{2}=a^{2}+2ab+b^{2}}$

$\bold{(a-b)^{2}=a^{2}-2ab+b^{2}}$

$\bold{a^{2}-b^{2}=(a+b)(a-b)}$

$\bold\green{\underline{\underline{Solution:-}}}$

$\bold{Method \ (I)}$

$\bold{=>(x+y)^{2}-(x-y)^{2}}$

$\bold{By \ identities}$

$\bold{(a+b)^{2}=a^{2}+2ab+b^{2}}$

$\bold{(a-b)^{2}=a^{2}-2ab+b^{2}}$

$\bold{=>x^{2}+2xy+y^{2}-(x^{2}-2xy+y^{2})}$

$\bold{=>x^{2}+2xy+y^{2}-x^{2}+2xy-y^{2}}$

$\bold{=>2xy+2xy}$

$\bold{=>4xy}$

___________________________________

$\bold{Method \ (II)}$

$\bold{=>(x+y)^{2}-(x-y)^{2}}$

$\bold{By \ identity}$

$\bold{a^{2}-b^{2}=(a+b)(a-b)}$

$\bold{=>(x+y+x-y)(x+y-x+y)}$

$\bold{=>2x×2y}$

$\bold{=>4xy}$

$\bold\purple{\tt{\therefore{(x+y)^{2}-(x-y)^{2}=4xy}}}$