1/4(x+y)-3x/x^2-y^2
You asked:
Evaluate the expression: \(\frac{1}{4 \cdot \left(x + y\right)} - \frac{3 x}{{x}^{2}} - {y}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{1}{4 \cdot \left(x + y\right)} - \frac{3 x}{{x}^{2}} - {y}^{2} = - y^{2} + \frac{1}{4 x + 4 y} - \frac{3}{x} \)
Expanded
\[\frac{1}{4 \cdot \left(x + y\right)} - \frac{3 x}{{x}^{2}} - {y}^{2} = - y^{2} + \frac{1}{4 x + 4 y} - \frac{3}{x}\]
Factored
\[\frac{1}{4 \cdot \left(x + y\right)} - \frac{3 x}{{x}^{2}} - {y}^{2} = - \frac{4 x^{2} y^{2} + 4 y^{3} x + 11 x + 12 y}{4 x \left(x + y\right)}\]