The value of $(x + 4) (x + 3) - (x - 4) (x - 3)$ is equal to

2 x^{2} - 14 x + 24

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2 x^{2} + 14 x - 24

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14 x

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24

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Solution

The correct option is A $14 x$
$(x + 4) (x + 3) - (x - 4) (x - 3)$
= $(x^{2} + 3 x + 4 x + 12) - (x^{2} - 3 x - 4 x + 12)$
= $(x^{2} + 7 x + 12) - (x^{2} - 7 x + 12)$
= $x^{2} + 7 x + 12 - x^{2} + 7 x - 12$
= $7 x + 7 x = 14 x$

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