To simplify : (4x+3y)(4x 3y) nbsp; Using the identity, (a+b)(a b) = a^2 nbsp; b^2 Here, nbsp;a = 4x and b = 3y, So, (4x+3y)(4x 3y) = (4x)^2 (3y) ...

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(x+y)^2 + (x-y)^2 and (x+y)^2 - (x-y)^2

Simplify:4x+3...

Question

Simplify:
$(4 x + 3 y) (4 x - 3 y)$

$16 x^{2} + 24 x y + 9 y^{2}$

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$16 x^{2} + 9 y^{2}$

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$16 x^{2} - 24 x y + 9 y^{2}$

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$16 x^{2} - 9 y^{2}$

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Solution

The correct option is D
$16 x^{2} - 9 y^{2}$

$To simplify : (4 x + 3 y) (4 x - 3 y)$

Using the identity,
$(a + b) (a - b) = a^{2} - b^{2}$

Here,
$a = 4 x and b = 3 y,$

So,
$(4 x + 3 y) (4 x - 3 y) = (4 x)^{2} - (3 y)^{2} = 16 x^{2} - 9 y^{2}$

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