Datrys 3x/5x^2+9x-2-6x/5x^2+19x+18

$$\frac { 3 x } { 5 x ^ { 2 } + 9 x - 2 } - \frac { 6 x } { 5 x ^ { 2 } + 19 x + 18 }$$

Enrhifo

$$\frac{3x\left(11-5x\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}$$

Camau Ateb Byr

Ffactora 5x^{2}+9x-2. Ffactora 5x^{2}+19x+18.

$$\frac{3x}{\left(5x-1\right)\left(x+2\right)}-\frac{6x}{\left(x+2\right)\left(5x+9\right)}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin \left(5x-1\right)\left(x+2\right) a \left(x+2\right)\left(5x+9\right) yw \left(5x-1\right)\left(x+2\right)\left(5x+9\right). Lluoswch \frac{3x}{\left(5x-1\right)\left(x+2\right)} â \frac{5x+9}{5x+9}. Lluoswch \frac{6x}{\left(x+2\right)\left(5x+9\right)} â \frac{5x-1}{5x-1}.

$$\frac{3x\left(5x+9\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}-\frac{6x\left(5x-1\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}$$

Gan fod gan \frac{3x\left(5x+9\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)} a \frac{6x\left(5x-1\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{3x\left(5x+9\right)-6x\left(5x-1\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}$$

Gwnewch y gwaith lluosi yn 3x\left(5x+9\right)-6x\left(5x-1\right).

$$\frac{15x^{2}+27x-30x^{2}+6x}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}$$

Cyfuno termau tebyg yn 15x^{2}+27x-30x^{2}+6x.

$$\frac{-15x^{2}+33x}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}$$

Ehangu \left(5x-1\right)\left(x+2\right)\left(5x+9\right).

$$\frac{-15x^{2}+33x}{25x^{3}+90x^{2}+71x-18}$$

Ffactor

$$\frac{3x\left(11-5x\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}$$