Expand (x+6)(x+8) using suitable identity.

x^{2} + 2 x + 48

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x^{2} + 14 x + 48

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x^{2} + 14 x + 24

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x^{2} + 2 x + 24

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Solution

The correct option is B $x^{2} + 14 x + 48$
We know,
$(x + a) (x + b) = (x^{2} + (a + b) x + a b)$
$∴$
$(x + 6) (x + 8)$
$\Rightarrow$ $x^{2} + (6 + 8) x + (6) (8)$
$\Rightarrow$ $x^{2} + 14 x + 48$

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