Datrys 1/1-r-r/1-r^2

$$\frac { 1 } { 1 - r } - \frac { r } { 1 - r ^ { 2 } }$$

Enrhifo

$$\frac{1}{1-r^{2}}$$

Camau Ateb Byr

Ffactora 1-r^{2}.

$$\frac{1}{1-r}-\frac{r}{\left(r-1\right)\left(-r-1\right)}$$

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

$$\frac{-\left(r+1\right)}{\left(r-1\right)\left(r+1\right)}-\frac{-r}{\left(r-1\right)\left(r+1\right)}$$

Gan fod gan \frac{-\left(r+1\right)}{\left(r-1\right)\left(r+1\right)} a \frac{-r}{\left(r-1\right)\left(r+1\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{-\left(r+1\right)-\left(-r\right)}{\left(r-1\right)\left(r+1\right)}$$

Gwnewch y gwaith lluosi yn -\left(r+1\right)-\left(-r\right).

$$\frac{-r-1+r}{\left(r-1\right)\left(r+1\right)}$$

Cyfuno termau tebyg yn -r-1+r.

$$\frac{-1}{\left(r-1\right)\left(r+1\right)}$$

Ehangu \left(r-1\right)\left(r+1\right).

$$\frac{-1}{r^{2}-1}$$

Gwahaniaethu w.r.t. r

$$\frac{2r}{\left(1-r^{2}\right)^{2}}$$