Do the multiplications in $\left(x-3\right)\left(2-x\right)-\left(5x-6\right)$.
$$\frac{2x-x^{2}-6+3x-5x+6}{2-x}-\frac{4}{x-2}$$
Combine like terms in $2x-x^{2}-6+3x-5x+6$.
$$\frac{-x^{2}}{2-x}-\frac{4}{x-2}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2-x$ and $x-2$ is $x-2$. Multiply $\frac{-x^{2}}{2-x}$ times $\frac{-1}{-1}$.
Do the multiplications in $\left(x-3\right)\left(2-x\right)-\left(5x-6\right)$.
$$\frac{2x-x^{2}-6+3x-5x+6}{2-x}-\frac{4}{x-2}$$
Combine like terms in $2x-x^{2}-6+3x-5x+6$.
$$\frac{-x^{2}}{2-x}-\frac{4}{x-2}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2-x$ and $x-2$ is $x-2$. Multiply $\frac{-x^{2}}{2-x}$ times $\frac{-1}{-1}$.
