Question

Factorise the following expressions : x square - y square + 2x + 1​

Answer 1

Answer refer to attachment

use both identity

(x-y)² = x²+y²-2xy

x²-y² = (x+y)(x-y)

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Answer 2

$\huge\mathbb{SOLUTION}$

x²-y²+2x+1

Applying this identity (a+b)² = a²+b²+2ab

x²+1+2x-y²

(x+1)²-y²

Now,

Applying identity a²- b² = (a+b)(a-b)

(x+1+y)(x+1-y)