(x+y)² -z²/x+y+z
You asked:
Evaluate the expression: \({\left( x + y \right)}^{2} - \frac{{z}^{2}}{x} + y + z\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( x + y \right)}^{2} - \frac{{z}^{2}}{x} + y + z = y + z + \left(x + y\right)^{2} - \frac{z^{2}}{x} \)
Expanded
\[{\left( x + y \right)}^{2} - \frac{{z}^{2}}{x} + y + z = x^{2} + 2 x y + y^{2} + y + z - \frac{z^{2}}{x}\]
Factored
\[{\left( x + y \right)}^{2} - \frac{{z}^{2}}{x} + y + z = \frac{x^{3} + 2 x^{2} y + y^{2} x + x y + x z - z^{2}}{x}\]