Question
8p 3 - 27q 3 - 36p 2 q
+ 54pq 2 is equivalent to:Solution
We know that: (a - b) 3 = a 3 - b 3 - 3a 2 b + 3ab 2
8p 3 - 27q 3 - 36p 2 q + 54pq 2
= (2p) 3 - (3q) 3 - 3 * (2p) 2 * 3q + 3 * 2p * (3q) 2
= (2p - 3q) 3
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