Math, asked by pradipkumarg1163, 10 months ago

(x-y)2 = (x+y)2 - 4xy how ?

Answers

Answered by Cutysona
48
(x-y)^2=(x+y)^2-4xy........ to prove..
LHS (x-y)^2 = x^2 -2xy +y^2

RHS (x+y)^2- 4xy
=(x^2 +2xy + y^2) - 4xy
=x^2 +2xy+ y^2 - 4xy
=x^2 + 2xy- 4xy + y^2
=x^2 - 2xy + y^2 ....

Hope, this may help you
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Answered by TheAishtonsageAlvie
31

HEY THERE AISHWARY THIS SIDE !!!!

Step-by-step explanation:

LHS =>


⇒ ( x - y )² = x + y - 2xy ....... ( 1 )


RHS

⇒ ( x + y )² - 4xy

⇒x² + y² + 2xy -4xy

⇒   x² + y² - 2xy....... ( 2 )

⇒   (x - y )²

SINCE LHS AND RHS ARE EQUAL HENCE IT IS PROVED

HAVE A NICE DAY!!

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