If a + b + c = 12 and ab + bc + ca = 22, then what is the value of $a^3 +b^3 + c^3 -3abc $ ?

936

If x + y  = n

then, $x^3 + y^3$ = n³ - 3 × n × xy

If a + b + c = 12

ab + bc + ca = 22

what is the value of $a^3 +b^3 + c^3 -3abc $

If the number of equations are less than the number of variables then we can put the extra variables according to our choice = 

So here two equations given and three variables are present so put c = 0

If a + b  = 12

ab  = 22

what is the value of $a^3 +b^3 $ = 12³ - 3 × 12 × 22 

what is the value of $a^3 +b^3 $ = 1728 - 792 = 936