Solve fy=(x-1)(x+1)(2-x)

$$f y = ( x - 1 ) ( x + 1 ) ( 2 - x )$$

Solve for f

$$\left\{\begin{matrix}f=\frac{\left(2-x\right)\left(x^{2}-1\right)}{y}\text{, }&y\neq 0\\f\in \mathrm{R}\text{, }&\left(x=2\text{ or }|x|=1\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-1 by x+1 and combine like terms.

$$fy=\left(x^{2}-1\right)\left(2-x\right)$$

Use the distributive property to multiply x^{2}-1 by 2-x.

$$fy=2x^{2}-x^{3}-2+x$$

The equation is in standard form.

$$yf=-x^{3}+2x^{2}+x-2$$

Divide both sides by y.

$$\frac{yf}{y}=\frac{\left(2-x\right)\left(x^{2}-1\right)}{y}$$

Dividing by y undoes the multiplication by y.

$$f=\frac{\left(2-x\right)\left(x^{2}-1\right)}{y}$$