Simplify
$20 x - [15 x^{3} + 5 x^{2} - {8 x^{2} - (4 - 2 x - x^{3}) - 5 x^{3}} - 2 x]$

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Solution

We have,
$20 x - [15 x^{3} + 5 x^{2} - {8 x^{2} - (4 - 2 x - x^{3}) - 5 x^{3}} - 2 x]$

$\Rightarrow 20 x - [15 x^{3} + 5 x^{2} - {8 x^{2} - 4 + 2 x + x^{3} - 5 x^{3}} - 2 x]$

$\Rightarrow 20 x - [15 x^{3} + 5 x^{2} - {8 x^{2} - 4 + 2 x - 4 x^{3}} - 2 x]$

$\Rightarrow 20 x - [15 x^{3} + 5 x^{2} - 8 x^{2} + 4 - 2 x + 4 x^{3} - 2 x]$

$\Rightarrow 20 x - [19 x^{3} - 3 x^{2} + 4 - 4 x]$

$\Rightarrow 20 x - 19 x^{3} + 3 x^{2} - 4 + 4 x$

$\Rightarrow - 19 x^{3} + 3 x^{2} + 24 x - 4$

Hence, this is the answer.

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