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Question

Expand (4x−3y)3.

A
64x3144x2y+108xy227y3
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B
64x3+144x2y+108xy227y3
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C
64x3144x2y108xy227y3
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D
None of these
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Solution

The correct option is A 64x3144x2y+108xy227y3
We know, (ab)3=a3b33ab(ab)
(ab)3=a3b33a2b+3ab2.

Then,
(4x3y)3
=(4x)3(3y)3 3(4x)2(3y) +3(4x)(3y)2
=64x3144x2y+108xy227y3.

Therefore, option A is correct.

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