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Addition and Subtraction of Algebraic Expression

Subtract 1-...

Question

Subtract $1 - p^{3}$ from $2 p^{3} - 3 p q^{2} - 2 q^{3}$

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Solution

We have, $2 p^{3} - 3 p q^{2} - 2 q^{3} - (1 - p^{3})$

$= 2 p^{3} - 3 p q^{2} - 2 q^{3} - 1 + p^{3}$

$= 2 p^{3} + p^{3} - 3 p q^{2} - 2 q^{3} - 1$

$= 3 p^{3} - 3 p q^{2} - 2 q^{3} - 1$

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