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Mathematics

Find the cube of:

2a - 1

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Answer

(2a - 1)3

Using the formula,

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

= (2a)3 - (1)3 - 3 ×\times (2a)2 ×\times (1) + 3 ×\times (2a) ×\times (1)2

= 8a3 - 1 - 12a2 + 6a

Hence, (2a - 1)3 = 8a3 - 1 - 12a2 + 6a

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