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

{(x^{2} - 9 x)}^{2} - {(1)}^{2}

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

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{(x^{2} - 13 x)}^{2} - {(12)}^{2}

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{(x^{2} + 9 x)}^{2} - {(15)}^{2}

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Solution

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

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

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

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

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