Practicing Success
If $x + y + z = 10, x^2 + y^2 + z^2 = 30$, then the value of $x^3 + y^3 + z^3 - 3xyz$ is __________. |
-70 -10 -30 -50 |
-50 |
If x + y = n then, $x^3 + y^3$ = n3 - 3 × n × xy we also know that, If $K+ l=n$ then, $K^2+l^2$ = n2 – 2 × k × l $x + y + z = 10, x^2 + y^2 + z^2 = 30$ Then the value of $x^3 + y^3 + z^3 - 3xyz$ 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 z = 0 $x + y = 10, x^2 + y^2 = 30$ $x^2 + y^2$ = n2 – 2 × x × y 30 = 102 – 2 × xy xy = 35 Then the value of $x^3 + y^3$ = 103 - 3 × 10 × 35 $x^3 + y^3$ = 1000 - 1050 = -50 |