Rešite v-8/2v^2-7v-30-4v

$$\frac { v - 8 } { 2 v ^ { 2 } - 7 v - 30 } - 4 v$$

Ovrednoti

$$\frac{-8v^{3}+28v^{2}+121v-8}{\left(v-6\right)\left(2v+5\right)}$$

Kratka navodila za rešitev

Faktorizirajte 2v^{2}-7v-30.

$$\frac{v-8}{\left(v-6\right)\left(2v+5\right)}-4v$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Pomnožite -4v s/z \frac{\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)}.

$$\frac{v-8}{\left(v-6\right)\left(2v+5\right)}+\frac{-4v\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)}$$

\frac{v-8}{\left(v-6\right)\left(2v+5\right)} in \frac{-4v\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{v-8-4v\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)}$$

Izvedi množenje v v-8-4v\left(v-6\right)\left(2v+5\right).

$$\frac{v-8-8v^{3}-20v^{2}+48v^{2}+120v}{\left(v-6\right)\left(2v+5\right)}$$

Združite podobne člene v v-8-8v^{3}-20v^{2}+48v^{2}+120v.

$$\frac{121v-8-8v^{3}+28v^{2}}{\left(v-6\right)\left(2v+5\right)}$$

Razčlenite \left(v-6\right)\left(2v+5\right).

$$\frac{121v-8-8v^{3}+28v^{2}}{2v^{2}-7v-30}$$

Razširi

$$\frac{-8v^{3}+28v^{2}+121v-8}{2v^{2}-7v-30}$$

Kratka navodila za rešitev

Faktorizirajte 2v^{2}-7v-30.

$$\frac{v-8}{\left(v-6\right)\left(2v+5\right)}-4v$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Pomnožite -4v s/z \frac{\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)}.

$$\frac{v-8}{\left(v-6\right)\left(2v+5\right)}+\frac{-4v\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)}$$

\frac{v-8}{\left(v-6\right)\left(2v+5\right)} in \frac{-4v\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{v-8-4v\left(v-6\right)\left(2v+5\right)}{\left(v-6\right)\left(2v+5\right)}$$

Izvedi množenje v v-8-4v\left(v-6\right)\left(2v+5\right).

$$\frac{v-8-8v^{3}-20v^{2}+48v^{2}+120v}{\left(v-6\right)\left(2v+5\right)}$$

Združite podobne člene v v-8-8v^{3}-20v^{2}+48v^{2}+120v.

$$\frac{121v-8-8v^{3}+28v^{2}}{\left(v-6\right)\left(2v+5\right)}$$

Razčlenite \left(v-6\right)\left(2v+5\right).

$$\frac{121v-8-8v^{3}+28v^{2}}{2v^{2}-7v-30}$$