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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\left(\frac{x}{4}-\frac{2}{4}\right)\left(-\frac{2}{3}x+\frac{4}{5}\right)
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 4 me 2 ko 4. Whakareatia \frac{1}{2} ki te \frac{2}{2}.
\frac{x-2}{4}\left(-\frac{2}{3}x+\frac{4}{5}\right)
Tā te mea he rite te tauraro o \frac{x}{4} me \frac{2}{4}, me tango rāua mā te tango i ō raua taurunga.
\frac{x-2}{4}\left(-\frac{2}{3}\right)x+\frac{x-2}{4}\times \frac{4}{5}
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{x-2}{4} ki te -\frac{2}{3}x+\frac{4}{5}.
\frac{-\left(x-2\right)\times 2}{4\times 3}x+\frac{x-2}{4}\times \frac{4}{5}
Me whakarea te \frac{x-2}{4} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{-\left(x-2\right)}{2\times 3}x+\frac{x-2}{4}\times \frac{4}{5}
Me whakakore tahi te 2 i te taurunga me te tauraro.
\frac{-\left(x-2\right)x}{2\times 3}+\frac{x-2}{4}\times \frac{4}{5}
Tuhia te \frac{-\left(x-2\right)}{2\times 3}x hei hautanga kotahi.
\frac{-\left(x-2\right)x}{2\times 3}+\frac{\left(x-2\right)\times 4}{4\times 5}
Me whakarea te \frac{x-2}{4} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{-\left(x-2\right)x}{2\times 3}+\frac{x-2}{5}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{5\left(-1\right)\left(x-2\right)x}{30}+\frac{6\left(x-2\right)}{30}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2\times 3 me 5 ko 30. Whakareatia \frac{-\left(x-2\right)x}{2\times 3} ki te \frac{5}{5}. Whakareatia \frac{x-2}{5} ki te \frac{6}{6}.
\frac{5\left(-1\right)\left(x-2\right)x+6\left(x-2\right)}{30}
Tā te mea he rite te tauraro o \frac{5\left(-1\right)\left(x-2\right)x}{30} me \frac{6\left(x-2\right)}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{-5x^{2}+10x+6x-12}{30}
Mahia ngā whakarea i roto o 5\left(-1\right)\left(x-2\right)x+6\left(x-2\right).
\frac{-5x^{2}+16x-12}{30}
Whakakotahitia ngā kupu rite i -5x^{2}+10x+6x-12.
\left(\frac{x}{4}-\frac{2}{4}\right)\left(-\frac{2}{3}x+\frac{4}{5}\right)
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 4 me 2 ko 4. Whakareatia \frac{1}{2} ki te \frac{2}{2}.
\frac{x-2}{4}\left(-\frac{2}{3}x+\frac{4}{5}\right)
Tā te mea he rite te tauraro o \frac{x}{4} me \frac{2}{4}, me tango rāua mā te tango i ō raua taurunga.
\frac{x-2}{4}\left(-\frac{2}{3}\right)x+\frac{x-2}{4}\times \frac{4}{5}
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{x-2}{4} ki te -\frac{2}{3}x+\frac{4}{5}.
\frac{-\left(x-2\right)\times 2}{4\times 3}x+\frac{x-2}{4}\times \frac{4}{5}
Me whakarea te \frac{x-2}{4} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{-\left(x-2\right)}{2\times 3}x+\frac{x-2}{4}\times \frac{4}{5}
Me whakakore tahi te 2 i te taurunga me te tauraro.
\frac{-\left(x-2\right)x}{2\times 3}+\frac{x-2}{4}\times \frac{4}{5}
Tuhia te \frac{-\left(x-2\right)}{2\times 3}x hei hautanga kotahi.
\frac{-\left(x-2\right)x}{2\times 3}+\frac{\left(x-2\right)\times 4}{4\times 5}
Me whakarea te \frac{x-2}{4} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{-\left(x-2\right)x}{2\times 3}+\frac{x-2}{5}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{5\left(-1\right)\left(x-2\right)x}{30}+\frac{6\left(x-2\right)}{30}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2\times 3 me 5 ko 30. Whakareatia \frac{-\left(x-2\right)x}{2\times 3} ki te \frac{5}{5}. Whakareatia \frac{x-2}{5} ki te \frac{6}{6}.
\frac{5\left(-1\right)\left(x-2\right)x+6\left(x-2\right)}{30}
Tā te mea he rite te tauraro o \frac{5\left(-1\right)\left(x-2\right)x}{30} me \frac{6\left(x-2\right)}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{-5x^{2}+10x+6x-12}{30}
Mahia ngā whakarea i roto o 5\left(-1\right)\left(x-2\right)x+6\left(x-2\right).
\frac{-5x^{2}+16x-12}{30}
Whakakotahitia ngā kupu rite i -5x^{2}+10x+6x-12.