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Question

Multiply:

(4) (m2 − 3mn + n2) (5mn + 4)

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Solution

(m2 − 3mn + n2) (5mn + 4)
= (m2 − 3mn + n2)5mn + (m2 − 3mn + n2)4
= (m2 × 5mn) − (3mn × 5mn) + (n2 × 5mn) + (m2 × 4) − (3mn × 4) + (n2 × 4)
= 5m3n − 15m2n2 + 5mn3 + 4m2 − 12mn + 4n2

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