Factorise : $x^{2} + 7 y + x y + 7 x$

(x + 7) (y + 7)

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(x + y) + (x + 7)

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(x + y) (y + 7)

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(x + y) (x + 7)

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Solution

The correct option is D $(x + y) (x + 7)$
$x^{2} + 7 y + x y + 7 x = x^{2} + x y + 7 x + 7 y$
$= x (x + y) + 7 (x + y)$
$= (x + y) (x + 7)$

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Factorise : x2+7y+xy+7x

The correct option is D (x+y)(x+7)x2+7y+xy+7x=x2+xy+7x+7y =x(x+y)+7(x+y) =(x+y)(x+7)

Factorise : $x^{2} + 7 y + x y + 7 x$

The correct option is D $(x + y) (x + 7)$
$x^{2} + 7 y + x y + 7 x = x^{2} + x y + 7 x + 7 y$
$= x (x + y) + 7 (x + y)$
$= (x + y) (x + 7)$