Simplify each of the following:$ (x+3)^{3}+(x-3)^{3} $

Given:

\( (x+3)^{3}+(x-3)^{3} \)

To do:

We have to simplify the given expression.

Solution:

$(x+3)^{3}+(x-3)^{3}=(x)^{3}+(3)^{3}+3 \times x^{2} \times 3+3 \times x \times(3)^{2}+ [(x)^{3}-(3)^{3}-3 \times x^{2} \times 3+3 \times x \times (3)^{2}]$

$=x^{3}+27+9 x^{2}+27x+x^{3}-27-9 x^{2}+27 x$

$=2 x^{3}+54 x$

Hence, $(x+3)^{3}+(x-3)^{3}=2 x^{3}+54 x$.

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Updated on: 10-Oct-2022

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