The correct option is B x 2yWe nbsp; know that a^2 b^2 =(a+b)(a b) x^2 4y^2 =x^2 (2y)^2 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nb ...

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Dividing a Polynomial by a Polynomial

x2-4 y2 ÷x+2 ...

Question

$(x^{2} - 4 y^{2}) \div (x + 2 y)$

x + 2 y

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x - 2 y

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x + 4 y

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x - 4 y

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Solution

The correct option is B $x - 2 y$
We know that $a^{2} - b^{2} = (a + b) (a - b)$

$x^{2} - 4 y^{2} = x^{2} - (2 y)^{2}$
$= (x + 2 y) (x - 2 y)$
So, when we divide $x^{2} - 4 y^{2}$ by $(x + 2 y)$ we get $(x - 2 y)$
ie $\frac{x^{2} - 4 y^{2}}{x + 2 y} = \frac{(x + 2 y) (x - 2 y)}{x + 2 y} = x - 2 y$

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