Mathematics
Find the cube of:
2a + 3b
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Answer
(2a + 3b)3
Using the formula,
(x + y)3 = x3 + y3 + 3x2y + 3xy2
= (2a)3 + (3b)3 + 3 (2a)2 (3b) + 3 (2a) (3b)2
= 8a3 + 27b3 + 36a2b + 54ab2
Hence, (2a + 3b)3 = 8a3 + 27b3 + 36a2b + 54ab2
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