Factorise: $x^{2} + 7 x + 10$

(x - 5) (x - 2)

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(x + 5) (x + 2)

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(x + 5) (x - 2)

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(x - 5) (x + 2)

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Solution

The correct option is B $(x + 5) (x + 2)$
$x^{2} + 7 x + 10 = x^{2} + 5 x + 2 x + 10$
$= x (x + 5) + 2 (x + 5) = (x + 5) (x + 2)$

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\frac{2 - 7 x}{1 - 5 x} = \frac{3 + 7 x}{4 + 5 x}

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