Question

Without actually Calculating the cube,find the value of (-14)³+8³+6².

Answer 1

There's an identity that $a^3+b^3+c^3 = 3abc$ if $a+b+c=0$

In this case $-14+8+6 = 0$, hence the answer you want is

$3(-14)(8)(6) = -2016$