Whakaoti i te 2x/5x+bx+3y/sy+by=

$$\frac { 2 x } { 5 x + b x } + \frac { 3 y } { s y + b y } =$$

Aromātai

$$\frac{2s+5b+15}{\left(b+5\right)\left(s+b\right)}$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2x}{5x+bx}.

$$\frac{2x}{x\left(b+5\right)}+\frac{3y}{sy+by}$$

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

$$\frac{2}{b+5}+\frac{3y}{sy+by}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3y}{sy+by}.

$$\frac{2}{b+5}+\frac{3y}{y\left(b+s\right)}$$

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

$$\frac{2}{b+5}+\frac{3}{s+b}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o b+5 me s+b ko \left(b+5\right)\left(s+b\right). Whakareatia \frac{2}{b+5} ki te \frac{s+b}{s+b}. Whakareatia \frac{3}{s+b} ki te \frac{b+5}{b+5}.

$$\frac{2\left(s+b\right)}{\left(b+5\right)\left(s+b\right)}+\frac{3\left(b+5\right)}{\left(b+5\right)\left(s+b\right)}$$

Tā te mea he rite te tauraro o \frac{2\left(s+b\right)}{\left(b+5\right)\left(s+b\right)} me \frac{3\left(b+5\right)}{\left(b+5\right)\left(s+b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2\left(s+b\right)+3\left(b+5\right)}{\left(b+5\right)\left(s+b\right)}$$

Mahia ngā whakarea i roto o 2\left(s+b\right)+3\left(b+5\right).

$$\frac{2s+2b+3b+15}{\left(b+5\right)\left(s+b\right)}$$

Whakakotahitia ngā kupu rite i 2s+2b+3b+15.

$$\frac{2s+5b+15}{\left(b+5\right)\left(s+b\right)}$$

Whakarohaina te \left(b+5\right)\left(s+b\right).

$$\frac{2s+5b+15}{bs+5s+b^{2}+5b}$$

Kimi Pārōnaki e ai ki s

$$-\frac{3}{\left(s+b\right)^{2}}$$