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Question
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Solution
24m4n6 + 56m6n4 - 72m2n2
Here, the common factor is 8m2n2
Dividing throughout by 3a, we get
`(24"m"^4"n"^6)/(8"m"^2"n"^2) + (56"m"6"n")/(8"m"^2"n"^2) - (72"m"^2"n"^2)/(8"m"^2"n"^2)`
= 3m2n4 + 7m4n2 - 9
∴ 24m4n6 + 56m6n4 - 72m2n2
= 8m2n2(3m2n4 + 7m4n2 - 9).
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