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Question

Which of the following is a factor of (x+y)3(x3+y3)?

(a) x2+y2+2xy

(b) x2+y2xy

(c) xy2

(d) 3xy


Solution

(x+y)3=x3+y3+3xy(x+y)(x+y)3(x3+y3)=3xy(x+y)

Hence 3xy is a factor


Mathematics
Secondary School Mathematics IX
Standard IX

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