Solve fy=3(x+2)(x-1)^2

$$f y = 3 ( x + 2 ) ( x - 1 ) ^ { 2 }$$

Solve for f

$$\left\{\begin{matrix}f=\frac{3\left(x+2\right)\left(x-1\right)^{2}}{y}\text{, }&y\neq 0\\f\in \mathrm{R}\text{, }&\left(x=-2\text{ or }x=1\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.

$$fy=3\left(x+2\right)\left(x^{2}-2x+1\right)$$

Use the distributive property to multiply 3 by x+2.

$$fy=\left(3x+6\right)\left(x^{2}-2x+1\right)$$

Use the distributive property to multiply 3x+6 by x^{2}-2x+1 and combine like terms.

$$fy=3x^{3}-9x+6$$

The equation is in standard form.

$$yf=3x^{3}-9x+6$$

Divide both sides by y.

$$\frac{yf}{y}=\frac{3\left(x+2\right)\left(x-1\right)^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$f=\frac{3\left(x+2\right)\left(x-1\right)^{2}}{y}$$