1.

Factorize each of the following algebraic expressions:x2 - y2 - 4xz + 4z2

Answer»

x2 – 2 (x) (2z) + (2z)2 – y2

As (a-b)2 = a2 + b2 – 2ab

= (x – 2z)2 – y2

As a2 – b2 = (a+b)(a-b)

= (x – 2z + y) (x – 2z – y)



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