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Question

Expand (2a-3b)3.


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Solution

(2a-3b)3
Using the formula (xy)3=x3y33xy(xy),
(2a3b)3=(2a)3(3b)33(2a)(3b)(2a3b)
=8a327b318ab(2a3b)
Or
=8a327b336a2b+54ab2.


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