3x+23=3x3+23+3 #215;3x #215;2 #215;3x+2 nbsp; nbsp; nbsp; nbsp; nbsp; =27x3+8+18x #215;3x+2=27x3+8+54x2+36x=27x3+54x2+36x+8 ...

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Introduction

Expand: 3 x+2...

Question

Expand: (3x + 2)³.

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Solution

${(3 x + 2)}^{3} = {(3 x)}^{3} + 2^{3} + (3 \times 3 x \times 2) \times (3 x + 2)$
$= 27 x^{3} + 8 + 18 x \times (3 x + 2) = 27 x^{3} + 8 + 54 x^{2} + 36 x = 27 x^{3} + 54 x^{2} + 36 x + 8$

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