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Kua tāruatia ki te papatopenga
\frac{3x+5}{x-4}-\frac{7x^{2}+38x+59}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}
Tauwehea te 3x^{2}-5x-28.
\frac{\left(3x+5\right)\left(3x+7\right)}{\left(x-4\right)\left(3x+7\right)}-\frac{7x^{2}+38x+59}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x-4 me \left(x-4\right)\left(3x+7\right) ko \left(x-4\right)\left(3x+7\right). Whakareatia \frac{3x+5}{x-4} ki te \frac{3x+7}{3x+7}.
\frac{\left(3x+5\right)\left(3x+7\right)-\left(7x^{2}+38x+59\right)}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}
Tā te mea he rite te tauraro o \frac{\left(3x+5\right)\left(3x+7\right)}{\left(x-4\right)\left(3x+7\right)} me \frac{7x^{2}+38x+59}{\left(x-4\right)\left(3x+7\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{9x^{2}+21x+15x+35-7x^{2}-38x-59}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}
Mahia ngā whakarea i roto o \left(3x+5\right)\left(3x+7\right)-\left(7x^{2}+38x+59\right).
\frac{2x^{2}-2x-24}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}
Whakakotahitia ngā kupu rite i 9x^{2}+21x+15x+35-7x^{2}-38x-59.
\frac{2\left(x-4\right)\left(x+3\right)}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2x^{2}-2x-24}{\left(x-4\right)\left(3x+7\right)}.
\frac{2\left(x+3\right)}{3x+7}+\frac{x+1}{3x+7}
Me whakakore tahi te x-4 i te taurunga me te tauraro.
\frac{2\left(x+3\right)+x+1}{3x+7}
Tā te mea he rite te tauraro o \frac{2\left(x+3\right)}{3x+7} me \frac{x+1}{3x+7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{2x+6+x+1}{3x+7}
Mahia ngā whakarea i roto o 2\left(x+3\right)+x+1.
\frac{3x+7}{3x+7}
Whakakotahitia ngā kupu rite i 2x+6+x+1.
1
Me whakakore tahi te 3x+7 i te taurunga me te tauraro.
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