Question

Without actually calculating the cubes, find the value of following :

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

• A. $4$
• B. $-1260$
• C. $-2100$
• D. $310$

Answer 1

The correct option is B $-1260$

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

Let $x=-12,y=7,z=5$

Here, $x+y+z=-12+7+5=0$

Thus, $(-12{)}^3+(7{)}^3+(5{)}^3=3\times -12\times 7\times 5=-1260$