If $\frac{4\left[(17)^3-(7)^3\right]}{\left(17^2+7^2+p\right)}=40$, then what is the value of p ?
Answer & explanation
Correct answer: option 3
( a - b ) = \(\frac{a^3 - b^3}{a^2 + b^2 + ab }\)
$\frac{4\left[(17)^3-(7)^3\right]}{\left(17^2+7^2+p\right)}=40$
By comparing the values from both of the equation we get =
a = 17
b = 9
p = ab = 17 × 9 = 119