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Question
Factorise the following:
8m3 – 2m2n – 15mn2
Solution
8m3 – 2m2n – 15mn2 = m(8m2 – 2mn – 15n2)
Product = 8(–15) = – 120 and sum = – 2
Split the middle term as –12mn and 10mn
8m3 – 2m2n – 15mn2 = m[8m2 – 2mn – 15n2]
= m[8m2 – 12mn + 10mn – 15n2]
= m[4m(2m – 3n) + 5n(2m – 3n)]
= m(2m – 3n)(4m + 5n)
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