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Factorisation by Regrouping Terms

Factorise by ...

Question

Factorise by grouping method:

$x^{2} + y^{2} + x + y + 2 x y$

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Solution

$x^{2} + y^{2} + x + y + 2 x y$

= (x² + y² + 2xy ) + (x + y)

=(x + y)²+ (x + y)

=(x + y)(x + y + 1)

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Factorisation by Regrouping Terms

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