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Question

Expand the following indentity (2x+1)³ ?

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Solution

(2x+1)3

Using identity (x+y)3 = x3 + y3 + 3xy(x + y)

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

= 8 x3+ 1 + 6x(2x + 1)

= 8x3 + 1 + 12x2 + 6x


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