Rešite x/x+3divx^2+x/x^2+bx+8+3x-3/x^2-1

$$\frac { x } { x + 3 } \div \frac { x ^ { 2 } + x } { x ^ { 2 } + b x + 8 } + \frac { 3 x - 3 } { x ^ { 2 } - 1 }$$

Ovrednoti

$$\frac{x^{2}+bx+3x+17}{\left(x+1\right)\left(x+3\right)}$$

Kratka navodila za rešitev

Delite \frac{x}{x+3} s/z \frac{x^{2}+x}{x^{2}+bx+8} tako, da pomnožite \frac{x}{x+3} z obratno vrednostjo \frac{x^{2}+x}{x^{2}+bx+8}.

$$\frac{x\left(x^{2}+bx+8\right)}{\left(x+3\right)\left(x^{2}+x\right)}+\frac{3x-3}{x^{2}-1}$$

Faktorizirajte izraze, ki še niso faktorizirani v \frac{x\left(x^{2}+bx+8\right)}{\left(x+3\right)\left(x^{2}+x\right)}.

$$\frac{x\left(x^{2}+bx+8\right)}{x\left(x+1\right)\left(x+3\right)}+\frac{3x-3}{x^{2}-1}$$

Okrajšaj x v števcu in imenovalcu.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3x-3}{x^{2}-1}$$

Faktorizirajte izraze, ki še niso faktorizirani v \frac{3x-3}{x^{2}-1}.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}$$

Okrajšaj x-1 v števcu in imenovalcu.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3}{x+1}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x+1\right)\left(x+3\right) in x+1 je \left(x+1\right)\left(x+3\right). Pomnožite \frac{3}{x+1} s/z \frac{x+3}{x+3}.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)} in \frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{x^{2}+bx+8+3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

Izvedi množenje v x^{2}+bx+8+3\left(x+3\right).

$$\frac{x^{2}+bx+8+3x+9}{\left(x+1\right)\left(x+3\right)}$$

Združite podobne člene v x^{2}+bx+8+3x+9.

$$\frac{x^{2}+bx+17+3x}{\left(x+1\right)\left(x+3\right)}$$

Razčlenite \left(x+1\right)\left(x+3\right).

$$\frac{x^{2}+bx+17+3x}{x^{2}+4x+3}$$

Razširi

$$\frac{x^{2}+bx+3x+17}{\left(x+1\right)\left(x+3\right)}$$

Kratka navodila za rešitev

Delite \frac{x}{x+3} s/z \frac{x^{2}+x}{x^{2}+bx+8} tako, da pomnožite \frac{x}{x+3} z obratno vrednostjo \frac{x^{2}+x}{x^{2}+bx+8}.

$$\frac{x\left(x^{2}+bx+8\right)}{\left(x+3\right)\left(x^{2}+x\right)}+\frac{3x-3}{x^{2}-1}$$

Faktorizirajte izraze, ki še niso faktorizirani v \frac{x\left(x^{2}+bx+8\right)}{\left(x+3\right)\left(x^{2}+x\right)}.

$$\frac{x\left(x^{2}+bx+8\right)}{x\left(x+1\right)\left(x+3\right)}+\frac{3x-3}{x^{2}-1}$$

Okrajšaj x v števcu in imenovalcu.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3x-3}{x^{2}-1}$$

Faktorizirajte izraze, ki še niso faktorizirani v \frac{3x-3}{x^{2}-1}.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}$$

Okrajšaj x-1 v števcu in imenovalcu.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3}{x+1}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x+1\right)\left(x+3\right) in x+1 je \left(x+1\right)\left(x+3\right). Pomnožite \frac{3}{x+1} s/z \frac{x+3}{x+3}.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)} in \frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{x^{2}+bx+8+3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

Izvedi množenje v x^{2}+bx+8+3\left(x+3\right).

$$\frac{x^{2}+bx+8+3x+9}{\left(x+1\right)\left(x+3\right)}$$

Združite podobne člene v x^{2}+bx+8+3x+9.

$$\frac{x^{2}+bx+17+3x}{\left(x+1\right)\left(x+3\right)}$$

Razčlenite \left(x+1\right)\left(x+3\right).

$$\frac{x^{2}+bx+17+3x}{x^{2}+4x+3}$$