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Question

Find the cube of 3a - 2b .

A
27a38b354a2b+36ab2
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B
27a354b38a2b+36ab2
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C
27a3+8b3+54a2b+36ab2
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D
27a38b354a2b36ab2
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Solution

The correct option is A 27a38b354a2b+36ab2
(ab)3=a3b33ab(ab)

(3a2b)3=(3a)3(2b)33×3a×2b(3a2b)

= (3a)3(2b)318ab(3a2b)

= 27a38b354a2b+36ab2

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