Mathematics
Find the cube of 5a + 3b.
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Answer
Solving,
(5a + 3b)3 = (5a)3 + (3b)3 + 3 × 5a × 3b(5a + 3b)
= 125a3 + 27b3 + 45ab(5a + 3b)
= 125a3 + 27b3 + 225a2b + 135ab2.
Hence, cube of 5a + 3b = 125a3 + 27b3 + 225a2b + 135ab2.
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