6.(i) Write the following cubes in expanded form:

   (i)    (2x + 1)^3

Answers (1)

Given is  (2x + 1)^3

We will use identity

(a+b)^3=a^3+b^3+3a^2b+3ab^2

Here,  a= 2x \ \ and \ \ b= 1

Therefore, 

(2x+1)^3=(2x)^3+(1)^3+3.(2x)^2.1+3.2x.(1)^2

                     = 8x^3+1+12x^2+6x

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