Question

Evaluate : $(-12{)}^3+7^3+5^3$

Answer 1

(i) It is given that

$(12{)}^3+7^3+5^3$

If $x+y+z=0$ then $x^3+y^3+z^3=3abc$

According to that

$-12+7+5=0$

So we get
$(12{)}^3+7^3+5^3=3(12\left)\right(7\left)\right(5)$

$(12{)}^3+7^3+5^3$$=-1260$