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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(3x\right)^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)
Whakaarohia te \left(3x-1\right)\left(3x+1\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
3^{2}x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)
Whakarohaina te \left(3x\right)^{2}.
9x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
9x^{2}-1-\left(x-4\right)\left(9x+1\right)
Tātaihia te 1 mā te pū o 2, kia riro ko 1.
9x^{2}-1-\left(9x^{2}+x-36x-4\right)
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-4 ki ia tau o 9x+1.
9x^{2}-1-\left(9x^{2}-35x-4\right)
Pahekotia te x me -36x, ka -35x.
9x^{2}-1-9x^{2}-\left(-35x\right)-\left(-4\right)
Hei kimi i te tauaro o 9x^{2}-35x-4, kimihia te tauaro o ia taurangi.
9x^{2}-1-9x^{2}+35x-\left(-4\right)
Ko te tauaro o -35x ko 35x.
9x^{2}-1-9x^{2}+35x+4
Ko te tauaro o -4 ko 4.
-1+35x+4
Pahekotia te 9x^{2} me -9x^{2}, ka 0.
3+35x
Tāpirihia te -1 ki te 4, ka 3.
\left(3x\right)^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)
Whakaarohia te \left(3x-1\right)\left(3x+1\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
3^{2}x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)
Whakarohaina te \left(3x\right)^{2}.
9x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
9x^{2}-1-\left(x-4\right)\left(9x+1\right)
Tātaihia te 1 mā te pū o 2, kia riro ko 1.
9x^{2}-1-\left(9x^{2}+x-36x-4\right)
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-4 ki ia tau o 9x+1.
9x^{2}-1-\left(9x^{2}-35x-4\right)
Pahekotia te x me -36x, ka -35x.
9x^{2}-1-9x^{2}-\left(-35x\right)-\left(-4\right)
Hei kimi i te tauaro o 9x^{2}-35x-4, kimihia te tauaro o ia taurangi.
9x^{2}-1-9x^{2}+35x-\left(-4\right)
Ko te tauaro o -35x ko 35x.
9x^{2}-1-9x^{2}+35x+4
Ko te tauaro o -4 ko 4.
-1+35x+4
Pahekotia te 9x^{2} me -9x^{2}, ka 0.
3+35x
Tāpirihia te -1 ki te 4, ka 3.