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Addition and Subtraction of Algebraic Expression

Simplify: -...

Question

Simplify: $(- 10 a^{3} b + 12 a^{2} b^{2} - 6 a b^{3}) - (8 a^{3} b + 6 a^{2} b^{2} - 9 a b^{3})$

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Solution

Given $(- 10 a^{3} b + 12 a^{2} b^{2} - 6 a b^{3}) - (8 a^{3} b + 6 a^{2} b^{2} - 9 a b^{3})$
$= - 10 a^{3} b + 12 a^{2} b^{2} - 6 a b^{3} - 8 a^{3} b - 6 a^{2} b^{2} + 9 a b^{3}$
$= - 10 a^{3} b - 8 a^{3} b + 12 a^{2} b^{2} - 6 a^{2} b^{2} - 6 a b^{3} + 9 a b^{3}$
$= - 18 a^{3} b + 6 a^{2} b^{2} + 3 a b^{3}$

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