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Factorisation Using Algebraic Identities

Factorise : x...

Question

Factorise :

$x^{2} - y^{2} - 2 y - 1$

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Solution

$x^{2} - y^{2} - 2 y - 1 = x^{2} - (y^{2} + 2 y + 1) = (x)^{2} - (y + 1)^{2} = (x + y + 1) (x - y - 1) A n s .$

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x^{2} + y^{2} + 2 x - 2 y + 1 = 0 a n d x^{2} + y^{2} - 2 x - 2 y + 1 = 0

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Factorisation Using Algebraic Identities

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