Question

Factorise using identity 1-2x+x^2-y^2

Answer 1

ANSWER : (x + 1 - y) (x + 1 + y)

Regrouping the term we have,

x^2 + 2x + 1 - y^2

Using identity,

(x+y)^2 = x^2 + y^2 + 2xy

We have,

(x)^2 + 2(x)(1) + 1^2 - y^2

(x+1) ^2 - y^2

Using the identity, a^2 - b^2 = (a+b) (a-b)

x^2 - y^2 + 2x + 1 = (x+1-y) (x+1+y).

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