Lahenda 27(3w-8)div9(w-8)(3w-8)

$$27 ( 3 w - 8 ) \div 9 ( w - 8 ) ( 3 w - 8 )$$

Arvuta

$$3\left(w-8\right)\left(3w-8\right)^{2}$$

Lahenduse etapid

Kasutage distributiivsusomadust, et korrutada 27 ja 3w-8.

$$\frac{81w-216}{9}\left(w-8\right)\left(3w-8\right)$$

Avaldage \frac{81w-216}{9}\left(w-8\right) ühe murdarvuna.

$$\frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right)$$

Avaldage \frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right) ühe murdarvuna.

$$\frac{\left(81w-216\right)\left(w-8\right)\left(3w-8\right)}{9}$$

Rakendage distributiivsusomadus, korrutades avaldise 81w-216 iga liikme avaldise w-8 iga liikmega.

$$\frac{\left(81w^{2}-648w-216w+1728\right)\left(3w-8\right)}{9}$$

Kombineerige -648w ja -216w, et leida -864w.

$$\frac{\left(81w^{2}-864w+1728\right)\left(3w-8\right)}{9}$$

Rakendage distributiivsusomadus, korrutades avaldise 81w^{2}-864w+1728 iga liikme avaldise 3w-8 iga liikmega.

$$\frac{243w^{3}-648w^{2}-2592w^{2}+6912w+5184w-13824}{9}$$

Kombineerige -648w^{2} ja -2592w^{2}, et leida -3240w^{2}.

$$\frac{243w^{3}-3240w^{2}+6912w+5184w-13824}{9}$$

Kombineerige 6912w ja 5184w, et leida 12096w.

$$\frac{243w^{3}-3240w^{2}+12096w-13824}{9}$$

Laienda

$$27w^{3}-360w^{2}+1344w-1536$$

Lahenduse etapid

Kasutage distributiivsusomadust, et korrutada 27 ja 3w-8.

$$\frac{81w-216}{9}\left(w-8\right)\left(3w-8\right)$$

Avaldage \frac{81w-216}{9}\left(w-8\right) ühe murdarvuna.

$$\frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right)$$

Avaldage \frac{\left(81w-216\right)\left(w-8\right)}{9}\left(3w-8\right) ühe murdarvuna.

$$\frac{\left(81w-216\right)\left(w-8\right)\left(3w-8\right)}{9}$$

Rakendage distributiivsusomadus, korrutades avaldise 81w-216 iga liikme avaldise w-8 iga liikmega.

$$\frac{\left(81w^{2}-648w-216w+1728\right)\left(3w-8\right)}{9}$$

Kombineerige -648w ja -216w, et leida -864w.

$$\frac{\left(81w^{2}-864w+1728\right)\left(3w-8\right)}{9}$$

Rakendage distributiivsusomadus, korrutades avaldise 81w^{2}-864w+1728 iga liikme avaldise 3w-8 iga liikmega.

$$\frac{243w^{3}-648w^{2}-2592w^{2}+6912w+5184w-13824}{9}$$

Kombineerige -648w^{2} ja -2592w^{2}, et leida -3240w^{2}.

$$\frac{243w^{3}-3240w^{2}+6912w+5184w-13824}{9}$$

Kombineerige 6912w ja 5184w, et leida 12096w.

$$\frac{243w^{3}-3240w^{2}+12096w-13824}{9}$$