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Question
Factorize the following:
10m3n2 + 15m4n − 20m2n3
Solution
The greatest common factor of the terms 10m3n2, 15m4n and -20m2n3 of the expression 10m3n2 + 15m4n - 20m2n3 is 5m2n.
Now,
10m3n2 = 5m2n X 2mn
15m4n = 5m2n X 3m2
-20m2n3 = 5m2n X -4n2
Hence, 10m3n2 + 15m2n - 20m2n3 can be factorised as 5m2n(2mn + 3m2 - 4n2).
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