Mathematics
Simplify the following:
(2p + 3q)(4p2 - 6pq + 9q2)
Expansions
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Answer
(2p + 3q)(4p2 - 6pq + 9q2) = (2p + 3q)[(2p)2 - (2p)(3q) + (3q)2]
We know that (a + b)(a2 - ab + b2) = a3 + b3
∴ (2p + 3q)[(2p)2 - (2p)(3q) + (3q)2] = (2p)3 + (3q)3
= 8p3 + 27q3
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