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

{(x^{2} - 12)}^{2} - {(x)}^{2}

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{(x^{2} - 18)}^{7} - {(8 x)}^{2}

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{(x^{2} - 13)}^{2} - {(x)}^{2}

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

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Solution

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

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Express the following as the difference of two squares (x2+8x−15)(x2−8x−15)

The correct option is D (x2−15)2−(8x)2 (x2+8x−15)(x2−8x−15)Using a2−b2=(a+b)(a−b)=(x2−15)2−(8x)2

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

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