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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

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