Lahenda (4x^3-x^2+8x+5/x^3-9x^2+2)

$$( \frac { 4 x ^ { 3 } - x ^ { 2 } + 8 x + 5 } { x ^ { 3 } - 9 x ^ { 2 } } + 2 )$$

Arvuta

$$\frac{\left(x-1\right)\left(2x-5\right)\left(3x+1\right)}{\left(x-9\right)x^{2}}$$

Lühike lahenduskäik

Tegurda x^{3}-9x^{2}.

$$\frac{4x^{3}-x^{2}+8x+5}{\left(x-9\right)x^{2}}+2$$

Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. Korrutage omavahel 2 ja \frac{\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}}.

$$\frac{4x^{3}-x^{2}+8x+5}{\left(x-9\right)x^{2}}+\frac{2\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}}$$

Kuna murdudel \frac{4x^{3}-x^{2}+8x+5}{\left(x-9\right)x^{2}} ja \frac{2\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}} on sama nimetaja, liitke nende lugejad.

$$\frac{4x^{3}-x^{2}+8x+5+2\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}}$$

Tehke korrutustehted võrrandis 4x^{3}-x^{2}+8x+5+2\left(x-9\right)x^{2}.

$$\frac{4x^{3}-x^{2}+8x+5+2x^{3}-18x^{2}}{\left(x-9\right)x^{2}}$$

Kombineerige sarnased liikmed avaldises 4x^{3}-x^{2}+8x+5+2x^{3}-18x^{2}.

$$\frac{6x^{3}-19x^{2}+8x+5}{\left(x-9\right)x^{2}}$$

Laiendage \left(x-9\right)x^{2}.

$$\frac{6x^{3}-19x^{2}+8x+5}{x^{3}-9x^{2}}$$

Laienda

$$\frac{6x^{3}-19x^{2}+8x+5}{x^{3}-9x^{2}}$$

Lühike lahenduskäik

Tegurda x^{3}-9x^{2}.

$$\frac{4x^{3}-x^{2}+8x+5}{\left(x-9\right)x^{2}}+2$$

Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. Korrutage omavahel 2 ja \frac{\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}}.

$$\frac{4x^{3}-x^{2}+8x+5}{\left(x-9\right)x^{2}}+\frac{2\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}}$$

Kuna murdudel \frac{4x^{3}-x^{2}+8x+5}{\left(x-9\right)x^{2}} ja \frac{2\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}} on sama nimetaja, liitke nende lugejad.

$$\frac{4x^{3}-x^{2}+8x+5+2\left(x-9\right)x^{2}}{\left(x-9\right)x^{2}}$$

Tehke korrutustehted võrrandis 4x^{3}-x^{2}+8x+5+2\left(x-9\right)x^{2}.

$$\frac{4x^{3}-x^{2}+8x+5+2x^{3}-18x^{2}}{\left(x-9\right)x^{2}}$$

Kombineerige sarnased liikmed avaldises 4x^{3}-x^{2}+8x+5+2x^{3}-18x^{2}.

$$\frac{6x^{3}-19x^{2}+8x+5}{\left(x-9\right)x^{2}}$$

Laiendage \left(x-9\right)x^{2}.

$$\frac{6x^{3}-19x^{2}+8x+5}{x^{3}-9x^{2}}$$