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Factorisation by Regrouping Terms

Factorise: x...

Question

Factorise:
$x^{2} + x y + 8 x + 8 y$

A

(x + 8) (x - y)

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B

(x + 8) (x - 8)

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C

(x - y) (x + y)

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D

(x + 8) (x + y)

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Solution

The correct option is C $(x + 8) (x + y)$
$x^{2} + x y + 8 x + 8 y = (x^{2} + x y) + (8 x + 8 y)$
$= x (x + y) + 8 (x + y)$
$= (x + y) (x + 8)$ [Taking $(x + y)$ common]

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