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\left(4x\right)^{2}-1-\left(4x+1-4\right)^{2}+4-1+8
Whakaarohia te \left(4x-1\right)\left(4x+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}. Pūrua 1.
4^{2}x^{2}-1-\left(4x+1-4\right)^{2}+4-1+8
Whakarohaina te \left(4x\right)^{2}.
16x^{2}-1-\left(4x+1-4\right)^{2}+4-1+8
Tātaihia te 4 mā te pū o 2, kia riro ko 16.
16x^{2}-1-\left(4x-3\right)^{2}+4-1+8
Tangohia te 4 i te 1, ka -3.
16x^{2}-1-\left(16x^{2}-24x+9\right)+4-1+8
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(4x-3\right)^{2}.
16x^{2}-1-16x^{2}+24x-9+4-1+8
Hei kimi i te tauaro o 16x^{2}-24x+9, kimihia te tauaro o ia taurangi.
-1+24x-9+4-1+8
Pahekotia te 16x^{2} me -16x^{2}, ka 0.
-10+24x+4-1+8
Tangohia te 9 i te -1, ka -10.
-6+24x-1+8
Tāpirihia te -10 ki te 4, ka -6.
-7+24x+8
Tangohia te 1 i te -6, ka -7.
1+24x
Tāpirihia te -7 ki te 8, ka 1.
\left(4x\right)^{2}-1-\left(4x+1-4\right)^{2}+4-1+8
Whakaarohia te \left(4x-1\right)\left(4x+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}. Pūrua 1.
4^{2}x^{2}-1-\left(4x+1-4\right)^{2}+4-1+8
Whakarohaina te \left(4x\right)^{2}.
16x^{2}-1-\left(4x+1-4\right)^{2}+4-1+8
Tātaihia te 4 mā te pū o 2, kia riro ko 16.
16x^{2}-1-\left(4x-3\right)^{2}+4-1+8
Tangohia te 4 i te 1, ka -3.
16x^{2}-1-\left(16x^{2}-24x+9\right)+4-1+8
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(4x-3\right)^{2}.
16x^{2}-1-16x^{2}+24x-9+4-1+8
Hei kimi i te tauaro o 16x^{2}-24x+9, kimihia te tauaro o ia taurangi.
-1+24x-9+4-1+8
Pahekotia te 16x^{2} me -16x^{2}, ka 0.
-10+24x+4-1+8
Tangohia te 9 i te -1, ka -10.
-6+24x-1+8
Tāpirihia te -10 ki te 4, ka -6.
-7+24x+8
Tangohia te 1 i te -6, ka -7.
1+24x
Tāpirihia te -7 ki te 8, ka 1.