Factorise:

$p^{2} (q + r) - (q + r)^{3}$

(p + r) (p + q + r) (p - q + r)

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(q + r) (p + q + r) (p - q - r)

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(q - r) (p + q - r) (p - q + r)

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(q - r) (p - q + r) (p - q + r)

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Solution

The correct option is B $(q + r) (p + q + r) (p - q - r)$
$p^{2} (q + r) - (q + r)^{3} \Rightarrow (q + r) [p^{2} - (q + r)^{2}] \Rightarrow (q + r) [(p + (q + r)) (p - (q + r))] \Rightarrow (q + r) [(p + q + r) (p - q - r)] \Rightarrow (q + r) (p + q + r) (p - q - r)$

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Similar questions

p^{3} {(q - r)}^{3} + q^{3} {(r - p)}^{3} + r^{3} {(p - q)}^{3}

(p - q)^{3} + (q - r)^{3} + (r - p)^{3}

(p - q)^{3} + (q - r)^{3} + (r - p)^{3}

I f p = 15, q = - 8, r = - 7, p^{3} + q^{3} + r^{3} =

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