Rešite left(x-0right)left(x-1right)left(x-2right)/left(3-0right)left(3-1right)left(3-2right)

$$\frac{ \left( x-0 \right) \left( x-1 \right) \left( x-2 \right) }{ \left( 3-0 \right) \left( 3-1 \right) \left( 3-2 \right) }$$

Ovrednoti

$$\frac{x\left(x-2\right)\left(x-1\right)}{6}$$

Koraki rešitve

Odštejte 0 od 3, da dobite 3.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{3\left(3-1\right)\left(3-2\right)}$$

Odštejte 1 od 3, da dobite 2.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{3\times 2\left(3-2\right)}$$

Pomnožite 3 in 2, da dobite 6.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{6\left(3-2\right)}$$

Odštejte 2 od 3, da dobite 1.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{6\times 1}$$

Pomnožite 6 in 1, da dobite 6.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{6}$$

Uporabite distributivnost, da pomnožite x-0 s/z x-1.

$$\frac{\left(\left(x-0\right)x-\left(x-0\right)\right)\left(x-2\right)}{6}$$

Uporabite distributivnost tako, da pomnožite vsako vrednost \left(x-0\right)x-\left(x-0\right) z vsako vrednostjo x-2.

$$\frac{\left(x-0\right)x^{2}-2\left(x-0\right)x-\left(x-0\right)x+2\left(x-0\right)}{6}$$

Združite -2\left(x-0\right)x in -\left(x-0\right)x, da dobite -3\left(x-0\right)x.

$$\frac{\left(x-0\right)x^{2}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Pomnožite -1 in 0, da dobite 0.

$$\frac{\left(x+0\right)x^{2}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Katero koli število, ki mu prištejete nič, ostane enako.

$$\frac{xx^{2}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 1 in 2, da dobite 3.

$$\frac{x^{3}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Pomnožite -1 in 0, da dobite 0.

$$\frac{x^{3}-3xx+2\left(x-0\right)}{6}$$

Pomnožite x in x, da dobite x^{2}.

$$\frac{x^{3}-3x^{2}+2\left(x-0\right)}{6}$$

Pomnožite -1 in 0, da dobite 0.

$$\frac{x^{3}-3x^{2}+2\left(x+0\right)}{6}$$

Katero koli število, ki mu prištejete nič, ostane enako.

$$\frac{x^{3}-3x^{2}+2x}{6}$$

Razširi

$$\frac{x^{3}}{6}-\frac{x^{2}}{2}+\frac{x}{3}$$

Koraki rešitve

Odštejte 0 od 3, da dobite 3.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{3\left(3-1\right)\left(3-2\right)}$$

Odštejte 1 od 3, da dobite 2.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{3\times 2\left(3-2\right)}$$

Pomnožite 3 in 2, da dobite 6.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{6\left(3-2\right)}$$

Odštejte 2 od 3, da dobite 1.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{6\times 1}$$

Pomnožite 6 in 1, da dobite 6.

$$\frac{\left(x-0\right)\left(x-1\right)\left(x-2\right)}{6}$$

Uporabite distributivnost, da pomnožite x-0 s/z x-1.

$$\frac{\left(\left(x-0\right)x-\left(x-0\right)\right)\left(x-2\right)}{6}$$

Uporabite distributivnost tako, da pomnožite vsako vrednost \left(x-0\right)x-\left(x-0\right) z vsako vrednostjo x-2.

$$\frac{\left(x-0\right)x^{2}-2\left(x-0\right)x-\left(x-0\right)x+2\left(x-0\right)}{6}$$

Združite -2\left(x-0\right)x in -\left(x-0\right)x, da dobite -3\left(x-0\right)x.

$$\frac{\left(x-0\right)x^{2}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Pomnožite -1 in 0, da dobite 0.

$$\frac{\left(x+0\right)x^{2}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Katero koli število, ki mu prištejete nič, ostane enako.

$$\frac{xx^{2}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte 1 in 2, da dobite 3.

$$\frac{x^{3}-3\left(x-0\right)x+2\left(x-0\right)}{6}$$

Pomnožite -1 in 0, da dobite 0.

$$\frac{x^{3}-3xx+2\left(x-0\right)}{6}$$

Pomnožite x in x, da dobite x^{2}.

$$\frac{x^{3}-3x^{2}+2\left(x-0\right)}{6}$$

Pomnožite -1 in 0, da dobite 0.

$$\frac{x^{3}-3x^{2}+2\left(x+0\right)}{6}$$

Katero koli število, ki mu prištejete nič, ostane enako.

$$\frac{x^{3}-3x^{2}+2x}{6}$$