Math, asked by srisasyamerugu, 1 year ago

factorize (a+b)^2 - ( c+d)^2

Answers

Answered by tejasgupta
6

Heya !!

(a+b)^2 - (c+d)^2\\\\\text{Using: $x^2 - y^2 = (x+y)(x-y)$,}\\\\(a+b)^2 - (c+d)^2\\\\= [(a+b)+(c+d)][(a+b)-(c+d)]\\\\= \large \underline{\boxed{\boxed{(a+b+c+d)(a+b-c-d)}}}

Alternative:

(a+b)^2 - (c+d)^2\\\\\text{Using: $(x+y)^2 = x^2 + y^2 + 2xy$,}\\\\(a+b)^2 - (c+d)^2\\\\= [a^2 + b^2 + 2ab]-[c^2+d^2+2cd]\\\\= a^2 + b^2 + 2ab -c^2 - d^2 + 2cd\\\\or, \: \: \large \underline{\boxed{\boxed{(a+b+c+d)(a+b-c-d)}}}

Hope it helps !!

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