- Simplify:
(a + b)3 – (a - b)3
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Answer:
(a+b)3−(a−b)3
=(a3+3a2b+3ab2+b3)−(a3−3a2b+3ab2−b3)
=a2−a2+3a2b−3a2b+3ab2+3ab2+b3+b3
=2b3+6ab2
=2b2(b+3a)
Therefore, the expression is equal to
2b3+6ab2 or 2b2(b+3a).
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