3( $x^{2}$-2yz+ $y^{2}$) -4( $x^{2}$- $y^{2}$-3yz)+ $x^{2}$ + $y^{2}$
You asked:
Evaluate the expression: \(3 \left({x}^{2} - 2 y z + {y}^{2}\right) - 4 \left({x}^{2} - {y}^{2} - 3 y z\right) + {x}^{2} + {y}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle 3 \left({x}^{2} - 2 y z + {y}^{2}\right) - 4 \left({x}^{2} - {y}^{2} - 3 y z\right) + {x}^{2} + {y}^{2} = 8 y^{2} + 6 y z \)
Expanded
\[3 \left({x}^{2} - 2 y z + {y}^{2}\right) - 4 \left({x}^{2} - {y}^{2} - 3 y z\right) + {x}^{2} + {y}^{2} = 8 y^{2} + 6 y z\]
Factored
\[3 \left({x}^{2} - 2 y z + {y}^{2}\right) - 4 \left({x}^{2} - {y}^{2} - 3 y z\right) + {x}^{2} + {y}^{2} = 2 y \left(4 y + 3 z\right)\]