Factorize:x2-y2-4xz+4z2 – InterviewSolution

1.

Factorize:x2-y2-4xz+4z2

Answer»

Given,

x²– y² - 4xz + 4z² = x²– 4xz +4z² – y²

= (x)² - 2×x×2z+(2z)² – y²

= (x-2z)² – y²

= (x - 2z - y) (x – 2z + y)

= (x – y – 2z) (x + y – 2z)

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