Datrys 1/x^2+x+1/x^2-x

$$\frac { 1 } { x ^ { 2 } + x } + \frac { 1 } { x ^ { 2 } - x }$$

Enrhifo

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

Camau Ateb Byr

Ffactora x^{2}+x. Ffactora x^{2}-x.

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

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

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

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

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

Cyfuno termau tebyg yn x-1+x+1.

$$\frac{2x}{x\left(x-1\right)\left(x+1\right)}$$

Canslo x yn y rhifiadur a'r enwadur.

$$\frac{2}{\left(x-1\right)\left(x+1\right)}$$

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

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

Gwahaniaethu w.r.t. x

$$-\frac{4x}{\left(x^{2}-1\right)^{2}}$$