Aromātai
22x^{2}+24x+7
Whakaroha
22x^{2}+24x+7
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(2x\right)^{2}-1^{2}-2\left(3x+2\right)\left(-3x-2\right)
Whakaarohia te \left(2x+1\right)\left(2x-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}.
2^{2}x^{2}-1^{2}-2\left(3x+2\right)\left(-3x-2\right)
Whakarohaina te \left(2x\right)^{2}.
4x^{2}-1^{2}-2\left(3x+2\right)\left(-3x-2\right)
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
4x^{2}-1-2\left(3x+2\right)\left(-3x-2\right)
Tātaihia te 1 mā te pū o 2, kia riro ko 1.
4x^{2}-1+\left(-6x-4\right)\left(-3x-2\right)
Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 3x+2.
4x^{2}-1+18x^{2}+12x+12x+8
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o -6x-4 ki ia tau o -3x-2.
4x^{2}-1+18x^{2}+24x+8
Pahekotia te 12x me 12x, ka 24x.
22x^{2}-1+24x+8
Pahekotia te 4x^{2} me 18x^{2}, ka 22x^{2}.
22x^{2}+7+24x
Tāpirihia te -1 ki te 8, ka 7.
\left(2x\right)^{2}-1^{2}-2\left(3x+2\right)\left(-3x-2\right)
Whakaarohia te \left(2x+1\right)\left(2x-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}.
2^{2}x^{2}-1^{2}-2\left(3x+2\right)\left(-3x-2\right)
Whakarohaina te \left(2x\right)^{2}.
4x^{2}-1^{2}-2\left(3x+2\right)\left(-3x-2\right)
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
4x^{2}-1-2\left(3x+2\right)\left(-3x-2\right)
Tātaihia te 1 mā te pū o 2, kia riro ko 1.
4x^{2}-1+\left(-6x-4\right)\left(-3x-2\right)
Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 3x+2.
4x^{2}-1+18x^{2}+12x+12x+8
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o -6x-4 ki ia tau o -3x-2.
4x^{2}-1+18x^{2}+24x+8
Pahekotia te 12x me 12x, ka 24x.
22x^{2}-1+24x+8
Pahekotia te 4x^{2} me 18x^{2}, ka 22x^{2}.
22x^{2}+7+24x
Tāpirihia te -1 ki te 8, ka 7.
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