Find Factorize of: (x–y)^2+4xy
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−4x+4y−y ^ 2
Rearranging:−x^2-y^2-4x+4yx 2 −y 2 −4x+4y
As\:we\:know,Asweknow,
a^2-b^2=(a+b)(a-b)a^2 −b ^ 2=(a+b)(a−b)
.Now, back to your question.
=(x+y)(x-y)-4(x-y) = (x+y)(x−y)−4(x−y)
= (x+y-4)(x-y) = (x+y−4)(x−y)
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