If $p-2 q=3$ and $p q=5$, then what is the value of $\left(p^3-8 q^3\right)$ ?
Answer & explanation
Correct answer: option 3
If $p-2 q=3$ and $p q=5$
What is the value of $\left(p^3-8 q^3\right)$
If x - y = n
then, $x^3 - y^3$ = n3 + 3 × n × xy
$\left(p^3-8 q^3\right)$ = 33 + 3 × 3 × 5 × 2
$\left(p^3-8 q^3\right)$ = 27 + 90
$\left(p^3-8 q^3\right)$ = 117