Simplify the following:
(3p - 4q)(9p2 + 12pq + 16q2)
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(3p - 4q)(9p2 +12pq + 16q2) = (3p - 4q)[(3p)2 + (3p)(4q) + (4q)2]
We know that (a - b)(a2 + ab + b2) = a3 - b3
∴ (3p - 4q)[(3p)2 + (3p)(4q) + (4q)2] = (3p)3 - (4q)3
= 27p3 - 64q3
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(2p + 3q)(4p2 - 6pq + 9q2)
(2x + 3y + 4z)(4x2 + 9y2 + 16z2 - 6xy - 12yz - 8zx)