Whakaoti i te 5y/4x+2x/3y-y^2/12xy

$$\frac { 5 y } { 4 x } + \frac { 2 x } { 3 y } - \frac { y ^ { 2 } } { 12 x y }$$

Aromātai

$$\frac{4x^{2}+7y^{2}}{6xy}$$

Ngā Hipanga Rongoā Poto

Me whakakore tahi te y i te taurunga me te tauraro.

$$\frac{5y}{4x}+\frac{2x}{3y}-\frac{y}{12x}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 4x me 3y ko 12xy. Whakareatia \frac{5y}{4x} ki te \frac{3y}{3y}. Whakareatia \frac{2x}{3y} ki te \frac{4x}{4x}.

$$\frac{5y\times 3y}{12xy}+\frac{2x\times 4x}{12xy}-\frac{y}{12x}$$

Tā te mea he rite te tauraro o \frac{5y\times 3y}{12xy} me \frac{2x\times 4x}{12xy}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5y\times 3y+2x\times 4x}{12xy}-\frac{y}{12x}$$

Mahia ngā whakarea i roto o 5y\times 3y+2x\times 4x.

$$\frac{15y^{2}+8x^{2}}{12xy}-\frac{y}{12x}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 12xy me 12x ko 12xy. Whakareatia \frac{y}{12x} ki te \frac{y}{y}.

$$\frac{15y^{2}+8x^{2}}{12xy}-\frac{yy}{12xy}$$

Tā te mea he rite te tauraro o \frac{15y^{2}+8x^{2}}{12xy} me \frac{yy}{12xy}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15y^{2}+8x^{2}-yy}{12xy}$$

Mahia ngā whakarea i roto o 15y^{2}+8x^{2}-yy.

$$\frac{15y^{2}+8x^{2}-y^{2}}{12xy}$$

Whakakotahitia ngā kupu rite i 15y^{2}+8x^{2}-y^{2}.

$$\frac{14y^{2}+8x^{2}}{12xy}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{14y^{2}+8x^{2}}{12xy}.

$$\frac{2\left(4x^{2}+7y^{2}\right)}{12xy}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{4x^{2}+7y^{2}}{6xy}$$

Tauwehe

$$\frac{4x^{2}+7y^{2}}{6xy}$$