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Question
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
Solution
81(p + q)2 -9p - 9q
= 81(p + q)2 - 9(p + q)
Here, the common factor is 9(p + q)
Dividing throughout by 9(p + q), we get
`(81("p" + "q")^2)/(9("p" + "q")) - (9("p" + "q"))/(9("p" + "q")`
= 9(p + q) - 1
∴ 81(p + q)2 - 9p - 9q
= 9(p + q)[9(p + q) - 1].
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