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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{x-2}{x^{2}+2x}-\frac{\left(x-1\right)x}{\left(x^{2}+4x+4\right)\left(4-x\right)}
Whakawehe \frac{x-1}{x^{2}+4x+4} ki te \frac{4-x}{x} mā te whakarea \frac{x-1}{x^{2}+4x+4} ki te tau huripoki o \frac{4-x}{x}.
\frac{x-2}{x\left(x+2\right)}-\frac{\left(x-1\right)x}{\left(-x+4\right)\left(x+2\right)^{2}}
Tauwehea te x^{2}+2x. Tauwehea te \left(x^{2}+4x+4\right)\left(4-x\right).
\frac{\left(x-2\right)\left(x-4\right)\left(x+2\right)}{x\left(x-4\right)\left(x+2\right)^{2}}-\frac{\left(x-1\right)x\left(-1\right)x}{x\left(x-4\right)\left(x+2\right)^{2}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+2\right) me \left(-x+4\right)\left(x+2\right)^{2} ko x\left(x-4\right)\left(x+2\right)^{2}. Whakareatia \frac{x-2}{x\left(x+2\right)} ki te \frac{\left(x-4\right)\left(x+2\right)}{\left(x-4\right)\left(x+2\right)}. Whakareatia \frac{\left(x-1\right)x}{\left(-x+4\right)\left(x+2\right)^{2}} ki te \frac{-x}{-x}.
\frac{\left(x-2\right)\left(x-4\right)\left(x+2\right)-\left(x-1\right)x\left(-1\right)x}{x\left(x-4\right)\left(x+2\right)^{2}}
Tā te mea he rite te tauraro o \frac{\left(x-2\right)\left(x-4\right)\left(x+2\right)}{x\left(x-4\right)\left(x+2\right)^{2}} me \frac{\left(x-1\right)x\left(-1\right)x}{x\left(x-4\right)\left(x+2\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.
\frac{x^{3}-2x^{2}-8x-2x^{2}+4x+16+x^{3}-x^{2}}{x\left(x-4\right)\left(x+2\right)^{2}}
Mahia ngā whakarea i roto o \left(x-2\right)\left(x-4\right)\left(x+2\right)-\left(x-1\right)x\left(-1\right)x.
\frac{2x^{3}-5x^{2}-4x+16}{x\left(x-4\right)\left(x+2\right)^{2}}
Whakakotahitia ngā kupu rite i x^{3}-2x^{2}-8x-2x^{2}+4x+16+x^{3}-x^{2}.
\frac{2x^{3}-5x^{2}-4x+16}{x^{4}-12x^{2}-16x}
Whakarohaina te x\left(x-4\right)\left(x+2\right)^{2}.
\frac{x-2}{x^{2}+2x}-\frac{\left(x-1\right)x}{\left(x^{2}+4x+4\right)\left(4-x\right)}
Whakawehe \frac{x-1}{x^{2}+4x+4} ki te \frac{4-x}{x} mā te whakarea \frac{x-1}{x^{2}+4x+4} ki te tau huripoki o \frac{4-x}{x}.
\frac{x-2}{x\left(x+2\right)}-\frac{\left(x-1\right)x}{\left(-x+4\right)\left(x+2\right)^{2}}
Tauwehea te x^{2}+2x. Tauwehea te \left(x^{2}+4x+4\right)\left(4-x\right).
\frac{\left(x-2\right)\left(x-4\right)\left(x+2\right)}{x\left(x-4\right)\left(x+2\right)^{2}}-\frac{\left(x-1\right)x\left(-1\right)x}{x\left(x-4\right)\left(x+2\right)^{2}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+2\right) me \left(-x+4\right)\left(x+2\right)^{2} ko x\left(x-4\right)\left(x+2\right)^{2}. Whakareatia \frac{x-2}{x\left(x+2\right)} ki te \frac{\left(x-4\right)\left(x+2\right)}{\left(x-4\right)\left(x+2\right)}. Whakareatia \frac{\left(x-1\right)x}{\left(-x+4\right)\left(x+2\right)^{2}} ki te \frac{-x}{-x}.
\frac{\left(x-2\right)\left(x-4\right)\left(x+2\right)-\left(x-1\right)x\left(-1\right)x}{x\left(x-4\right)\left(x+2\right)^{2}}
Tā te mea he rite te tauraro o \frac{\left(x-2\right)\left(x-4\right)\left(x+2\right)}{x\left(x-4\right)\left(x+2\right)^{2}} me \frac{\left(x-1\right)x\left(-1\right)x}{x\left(x-4\right)\left(x+2\right)^{2}}, me tango rāua mā te tango i ō raua taurunga.
\frac{x^{3}-2x^{2}-8x-2x^{2}+4x+16+x^{3}-x^{2}}{x\left(x-4\right)\left(x+2\right)^{2}}
Mahia ngā whakarea i roto o \left(x-2\right)\left(x-4\right)\left(x+2\right)-\left(x-1\right)x\left(-1\right)x.
\frac{2x^{3}-5x^{2}-4x+16}{x\left(x-4\right)\left(x+2\right)^{2}}
Whakakotahitia ngā kupu rite i x^{3}-2x^{2}-8x-2x^{2}+4x+16+x^{3}-x^{2}.
\frac{2x^{3}-5x^{2}-4x+16}{x^{4}-12x^{2}-16x}
Whakarohaina te x\left(x-4\right)\left(x+2\right)^{2}.