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Addition and Subtraction of Algebraic Expression

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Question

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

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Solution

$(x^{4} - 3) (3 x - 4) + 2 x^{3} (2 x^{2} - 2)$
$= {3 x}^{5} - 4 x^{4} - 9 x + 12 + 4 x^{5} - 4 x^{3}$
$= {3 x}^{5} + 4 x^{5} - 4 x^{4} - 4 x^{3} - 9 x + 12$
$= {7 x}^{5} - 4 x^{4} - 4 x^{3} - 9 x + 12$
Ans $= {7 x}^{5} - 4 x^{4} - 4 x^{3} - 9 x + 12$

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