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

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

Solvi għal f

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

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

Uża l-propjetà distributtiva biex timmultiplika 3 b'x+2.

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

Uża l-propjetà distributtiva biex timmultiplika 3x+6 b'x^{2}-2x+1 u kkombina termini simili.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi ż-żewġ naħat b'y.

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

Meta tiddividi b'y titneħħa l-multiplikazzjoni b'y.

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