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Question

(x24y2)÷(x+2y)=?


A

x + 2y

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B

x - 2y

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C

x + 4y

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D

x - 4y

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Solution

The correct option is B

x - 2y


We know that (a2b2)=(a+b)(ab)

Thus, x24y2

=x2(2y)2

=(x+2y)(x2y)

So, when x24y2 is divided by (x+2y) we get (x2y)

i.e x24y2(x+2y)=(x+2y)(x2y)(x+2y)=(x2y)


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