Question

Expand : (2x + 1)^3 using identity​

Answer 1

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Answer 2

Given,

• (2x+1)³ is given.

To find,

• We have to expand the given cubic identity.

Solution,

We can simply expand the given cubic identity by using the following identity:

                  (a+b)³ = a³+b³+3ab(a+b)

where a = 2x and b = 1

                   =  (2x+1)³

                   = (2x)³+(1)³+3(2x)(1)[2x+1]

                   = 8x³+1+6x[2x+1]

                   = 8x³+1+12x²+6x

Arranging the terms in standard form, we get

                   = 8x³+12x²+6x+1

Hence, $(2x+1)^3$ can be expanded as  8x³+12x²+6x+1 by using the identity.