Practicing Success
If x + y + z = 8, and $x^2 + y^2 + z^2 = 20$ then the value of $x^3 + y^3 + z^3 − 3xyz$ is _______. |
16 10 15 -16 |
-16 |
If x + y + z = 8, and $x^2 + y^2 + z^2 = 20$ Find 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 = 8, and $x^2 + y^2 = 20$ Find the value of $x^3 + y^3$= ? ( a + b )2 = a2 + b2 + 2ab ( 8)2 = 20 + 2xy 64 = 20 + 2ab 2xy = 44 xy = 22 $x^3 + y^3$ = 83 - 3 × 8 × 22 $x^3 + y^3$ = 512 - 528 $x^3 + y^3$ = -16 |