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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 ×\times (2a)2 ×\times (3b) + 3 ×\times (2a) ×\times (3b)2

= 8a3 + 27b3 + 36a2b + 54ab2

Hence, (2a + 3b)3 = 8a3 + 27b3 + 36a2b + 54ab2

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