6.(ii) Write the following cube in expanded form:

     (ii)    (2a-3b)^3

Answers (1)

Given is  (2a-3b)^3

We will use identity

(x-y)^3=x^3-y^3-3x^2y+3xy^2

Here,  x= 2a \ \ and \ \ y= 3b

Therefore, 

(2a-3b)^3=(2a)^3-(3b)^3-3.(2a)^2.3b+3.2a.(3b)^2

                       = 8a^3-9b^3-36a^2b+54ab^2

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