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Question
Factorise the following:
2a3 + 5a2b - 12ab2
Sum
Solution
2a3 + 5a2b - 12ab2
= 2a3 + 8a2b - 3a2b - 12ab2
= 2a2(a + 4b) - 3ab(a + 4b)
= (a + 4b)(2a2 - 3ab)
= (a + 4b)a(2a - 3b)
= a(a + 4b)(2a - 3b).
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