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Addition and Subtraction of Algebraic Expression

Simplify the ...

Question

Simplify the polynomial and write it in standard form:
$(- x^{3} + 4) (x + 2) - (2 x - 1) (5 x)$

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Solution

$({- x}^{3} + 4) (x + 2) - (2 x - 1) (5 x)$
$= {- x}^{4} - {2 x}^{3} + 4 x + 8 - {10 x}^{2} + 5 x$
$= {- x}^{4} - {2 x}^{3} - 10 x^{2} + 4 x + 5 x + 8$
$= {- x}^{4} - {2 x}^{3} - 10 x^{2} + 9 x + 8$
Ans $= {- x}^{4} - {2 x}^{3} - 10 x^{2} + 9 x + 8$

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