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Question

Write the following cubes in expanded form: (2a3b)3

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Solution

(2a3b)3

Using identity (xy)3​​ = x3 - y3​ - 3xy(x - y)

= (2a)3​ - (3b)3​- 3(2a)(3b)(2a - 3b)

= 8a3​ - 27b3​- 18ab(2a - 3b)

= 8a3​ - 27b3​-36a2​b + 54ab2


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