Evaluate : ( 5 $x$ +4 $y$ ) (5 $x$ -4 $y$ )

25 $x^{2}$ +16 $y^{2}$

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25 $x^{2}$ -16 $y^{2}$

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25 $x^{2}$ -4 $y^{2}$

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5 $x^{2}$ -16 $y^{2}$

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Solution

The correct option is B
25 $x^{2}$ -16 $y^{2}$

Using the identity:
$(a + b) (a - b) = a^{2} - b^{2}$
(5 $x$ +4 $y$ ) (5 $x$ -4 $y$ ) = ${(5 x)}^{2}$ - ${(4 y)}^{2}$ = $25 x^{2}$ - $16 y^{2}$

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