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Question

(x+2y)(x2−2xy+4y2) can also be written as :

A
(x2+2y2)
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B
(x3+2y3)
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C
(x3+8y3)
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D
(x3+y3)
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Solution

The correct option is C (x3+8y3)
Using the identity
a3+b3=(a2ab+b2)(a+b),
(x+2y)(x22xy+4y2)
can be written as (x)3+(2y)3=(x3+8y3).

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