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Question

Simplify: (x3+y3)(x2+xy+y2)

A
x5+x4y+x3y2+xy3+xy4+y5
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B
x5+x4y+y6+x2y3+xy4+y5
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C
x5+x4y+x3y2+x2y3+xy4+y5
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D
x9+x4y+x3y2+x2y3+xy4+y9
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Solution

The correct option is C x5+x4y+x3y2+x2y3+xy4+y5
(x3+y3)(x2+xy+y2)
First, multiply each term of the trinomial by the first term of the binomial. Then multiply each term of the trinomial by the second term of the binomial.
= x3.x2+x3.xy+x3.y2+y3.x2+y3.xy+y3.y2
= x5+x4y+x3y2+x2y3+xy4+y5

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