Whakaoti i te (x^2+4/x-4)*x^2-4/2x

$$( \frac { x ^ { 2 } + 4 } { x } - 4 ) \cdot \frac { x ^ { 2 } - 4 } { 2 x }$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4 ki te \frac{x}{x}.

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

Tā te mea he rite te tauraro o \frac{x^{2}+4}{x} me \frac{4x}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{x^{2}+4-4x}{x}\times \frac{x^{2}-4}{2x}$$

Me whakarea te \frac{x^{2}+4-4x}{x} ki te \frac{x^{2}-4}{2x} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Whakareatia te x ki te x, ka x^{2}.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}+4-4x ki te x^{2}-4 ka whakakotahi i ngā kupu rite.

$$\frac{x^{4}-16-4x^{3}+16x}{x^{2}\times 2}$$

Whakaroha

$$\frac{x^{2}}{2}-2x+\frac{8}{x}-\frac{8}{x^{2}}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4 ki te \frac{x}{x}.

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

Tā te mea he rite te tauraro o \frac{x^{2}+4}{x} me \frac{4x}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{x^{2}+4-4x}{x}\times \frac{x^{2}-4}{2x}$$

Me whakarea te \frac{x^{2}+4-4x}{x} ki te \frac{x^{2}-4}{2x} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Whakareatia te x ki te x, ka x^{2}.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}+4-4x ki te x^{2}-4 ka whakakotahi i ngā kupu rite.

$$\frac{x^{4}-16-4x^{3}+16x}{x^{2}\times 2}$$