Write the following cube in expanded form:- (2x + 1)^{3}

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#### Solution

It is known that,

(a + b)^{3} = a^{3} + b^{3} + 3ab(a + b) and (a - b)^{3} = a^{3} - b^{3} - 3ab(a - b)

(2x+1)^{3} = (2x)^{3}+1^{3}+(3×2x×1)(2x+1)

= 8x^{3}+1+6x(2x+1)

= 8x^{3}+12x^{3}+6x+1

Concept: Algebraic Identities

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