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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{3x}{x^{2}-\left(3x\right)^{2}}-\frac{x-3x}{x+3x}
Pahekotia te 6x me -3x, ka 3x.
\frac{3x}{x^{2}-3^{2}x^{2}}-\frac{x-3x}{x+3x}
Whakarohaina te \left(3x\right)^{2}.
\frac{3x}{x^{2}-9x^{2}}-\frac{x-3x}{x+3x}
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
\frac{3x}{-8x^{2}}-\frac{x-3x}{x+3x}
Pahekotia te x^{2} me -9x^{2}, ka -8x^{2}.
\frac{3}{-8x}-\frac{x-3x}{x+3x}
Me whakakore tahi te x i te taurunga me te tauraro.
\frac{3}{-8x}-\frac{-2x}{x+3x}
Pahekotia te x me -3x, ka -2x.
\frac{3}{-8x}-\frac{-2x}{4x}
Pahekotia te x me 3x, ka 4x.
\frac{3}{-8x}-\frac{-1}{2}
Me whakakore tahi te 2x i te taurunga me te tauraro.
\frac{3}{-8x}-\left(-\frac{1}{2}\right)
Ka taea te hautanga \frac{-1}{2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.
\frac{3}{-8x}+\frac{1}{2}
Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.
\frac{3\left(-1\right)}{8x}+\frac{4x}{8x}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o -8x me 2 ko 8x. Whakareatia \frac{3}{-8x} ki te \frac{-1}{-1}. Whakareatia \frac{1}{2} ki te \frac{4x}{4x}.
\frac{3\left(-1\right)+4x}{8x}
Tā te mea he rite te tauraro o \frac{3\left(-1\right)}{8x} me \frac{4x}{8x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{-3+4x}{8x}
Mahia ngā whakarea i roto o 3\left(-1\right)+4x.
\frac{3x}{x^{2}-\left(3x\right)^{2}}-\frac{x-3x}{x+3x}
Pahekotia te 6x me -3x, ka 3x.
\frac{3x}{x^{2}-3^{2}x^{2}}-\frac{x-3x}{x+3x}
Whakarohaina te \left(3x\right)^{2}.
\frac{3x}{x^{2}-9x^{2}}-\frac{x-3x}{x+3x}
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
\frac{3x}{-8x^{2}}-\frac{x-3x}{x+3x}
Pahekotia te x^{2} me -9x^{2}, ka -8x^{2}.
\frac{3}{-8x}-\frac{x-3x}{x+3x}
Me whakakore tahi te x i te taurunga me te tauraro.
\frac{3}{-8x}-\frac{-2x}{x+3x}
Pahekotia te x me -3x, ka -2x.
\frac{3}{-8x}-\frac{-2x}{4x}
Pahekotia te x me 3x, ka 4x.
\frac{3}{-8x}-\frac{-1}{2}
Me whakakore tahi te 2x i te taurunga me te tauraro.
\frac{3}{-8x}-\left(-\frac{1}{2}\right)
Ka taea te hautanga \frac{-1}{2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.
\frac{3}{-8x}+\frac{1}{2}
Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.
\frac{3\left(-1\right)}{8x}+\frac{4x}{8x}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o -8x me 2 ko 8x. Whakareatia \frac{3}{-8x} ki te \frac{-1}{-1}. Whakareatia \frac{1}{2} ki te \frac{4x}{4x}.
\frac{3\left(-1\right)+4x}{8x}
Tā te mea he rite te tauraro o \frac{3\left(-1\right)}{8x} me \frac{4x}{8x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{-3+4x}{8x}
Mahia ngā whakarea i roto o 3\left(-1\right)+4x.