Expand $(- 3 p - 5 p)^{3}$

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Solution

$(- 3 p - 5 q)^{3}$

$= ((- 3 p) + (- 5 q))^{3}$

Using, $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$

$= (- 3 p)^{3} + (- 5 q)^{3} + 3 (- 3 p) (- 5 q) {- 3 p + (- 5 q)}$

$= - 27 p^{3} - 125 q^{3} + 45 p q (- 3 p - 5 q)$

$= - 27 p^{3} - 125 q^{3} - 135 p^{2} q - 225 p q^{2}$

$= - (27 p^{3} + 125 q^{3} + 135 p^{2} q + 225 p q^{2})$

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Similar questions

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