Question

The value of p cube - q cube if p-q=8,p*q=-12 is

Answer 1

Answer:

$504$

Step-by-step explanation:

${(p - q)}^{3} = {p}^{3} - {q}^{3} - 3pq(p - q) \\ {8}^{3} = {p}^{3} - {q}^{3} - 3 \times 12(8) \\216 = {p}^{3} - {q}^{3} - 288 \\ 216 + 288 = {p}^{3} - {q}^{3} \\ {p}^{3} - {q}^{3} = 504$

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