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Mathematics

Find the cube of:

3b - 2a

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Answer

(3b - 2a)3

Using the formula,

(x - y)3 = x3 - y3 - 3x2y + 3xy2

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

= 27b3 - 8a3 - 54b2a + 36ba2

Hence, (3b - 2a)3 = 27b3 - 8a3 - 54b2a + 36ba2

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