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# Write the following cubes in expanded form: (i) (2x + 1) ^3

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

(i)    $(2x + 1)^3$

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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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