Whakaoti i te 1/m-n-1/m+n:2/3m-3n

$$\frac { 1 } { m - n } - \frac { 1 } { m + n } : \frac { 2 } { 3 m - 3 n }$$

Aromātai

$$\frac{2n-3n^{2}+2m+6mn-3m^{2}}{2\left(m^{2}-n^{2}\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{1}{m+n} ki te \frac{2}{3m-3n} mā te whakarea \frac{1}{m+n} ki te tau huripoki o \frac{2}{3m-3n}.

$$\frac{1}{m-n}-\frac{3m-3n}{\left(m+n\right)\times 2}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o m-n me \left(m+n\right)\times 2 ko 2\left(m+n\right)\left(m-n\right). Whakareatia \frac{1}{m-n} ki te \frac{2\left(m+n\right)}{2\left(m+n\right)}. Whakareatia \frac{3m-3n}{\left(m+n\right)\times 2} ki te \frac{m-n}{m-n}.

$$\frac{2\left(m+n\right)}{2\left(m+n\right)\left(m-n\right)}-\frac{\left(3m-3n\right)\left(m-n\right)}{2\left(m+n\right)\left(m-n\right)}$$

Tā te mea he rite te tauraro o \frac{2\left(m+n\right)}{2\left(m+n\right)\left(m-n\right)} me \frac{\left(3m-3n\right)\left(m-n\right)}{2\left(m+n\right)\left(m-n\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2\left(m+n\right)-\left(3m-3n\right)\left(m-n\right)}{2\left(m+n\right)\left(m-n\right)}$$

Mahia ngā whakarea i roto o 2\left(m+n\right)-\left(3m-3n\right)\left(m-n\right).

$$\frac{2m+2n-3m^{2}+3mn+3nm-3n^{2}}{2\left(m+n\right)\left(m-n\right)}$$

Whakakotahitia ngā kupu rite i 2m+2n-3m^{2}+3mn+3nm-3n^{2}.

$$\frac{2m+2n-3m^{2}-3n^{2}+6mn}{2\left(m+n\right)\left(m-n\right)}$$

Whakarohaina te 2\left(m+n\right)\left(m-n\right).

$$\frac{2m+2n-3m^{2}-3n^{2}+6mn}{2m^{2}-2n^{2}}$$

Tauwehe

$$\frac{2n-3n^{2}+2m+6mn-3m^{2}}{2\left(m-n\right)\left(m+n\right)}$$