Express the following as the difference of squares :
$(x^{2} + 8 x + 15) (x^{2} - 8 x + 15)$

(2 x^{2} + 15)^{2} - (x)^{2}

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(x^{2} + 15)^{2} - (8 x)^{2}

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(x^{2} - 22)^{2} - (x)^{2}

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(x^{2} - 15)^{2} - (8 x)^{2}

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Solution

The correct option is B $(x^{2} + 15)^{2} - (8 x)^{2}$
$(x^{2} + 8 x + 15) (x^{2} - 8 x + 15)$
$= (x^{2} + 15 + 8 x) (x^{2} + 15 - 8 x)$
$= (x^{2} + 15)^{2} - (8 x)^{2}$ ...[Using $a^{2} - b^{2} = (a + b) (a - b)$ ]

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