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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

3\left(9x^{2}+6x+1\right)\left(2x-1\right)+9\left(3x+1\right)\left(2x-1\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(3x+1\right)^{2}.
\left(27x^{2}+18x+3\right)\left(2x-1\right)+9\left(3x+1\right)\left(2x-1\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 9x^{2}+6x+1.
54x^{3}+9x^{2}-12x-3+9\left(3x+1\right)\left(2x-1\right)^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 27x^{2}+18x+3 ki te 2x-1 ka whakakotahi i ngā kupu rite.
54x^{3}+9x^{2}-12x-3+9\left(3x+1\right)\left(4x^{2}-4x+1\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-1\right)^{2}.
54x^{3}+9x^{2}-12x-3+\left(27x+9\right)\left(4x^{2}-4x+1\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te 3x+1.
54x^{3}+9x^{2}-12x-3+108x^{3}-72x^{2}-9x+9
Whakamahia te āhuatanga tuaritanga hei whakarea te 27x+9 ki te 4x^{2}-4x+1 ka whakakotahi i ngā kupu rite.
162x^{3}+9x^{2}-12x-3-72x^{2}-9x+9
Pahekotia te 54x^{3} me 108x^{3}, ka 162x^{3}.
162x^{3}-63x^{2}-12x-3-9x+9
Pahekotia te 9x^{2} me -72x^{2}, ka -63x^{2}.
162x^{3}-63x^{2}-21x-3+9
Pahekotia te -12x me -9x, ka -21x.
162x^{3}-63x^{2}-21x+6
Tāpirihia te -3 ki te 9, ka 6.
3\left(9x^{2}+6x+1\right)\left(2x-1\right)+9\left(3x+1\right)\left(2x-1\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(3x+1\right)^{2}.
\left(27x^{2}+18x+3\right)\left(2x-1\right)+9\left(3x+1\right)\left(2x-1\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 9x^{2}+6x+1.
54x^{3}+9x^{2}-12x-3+9\left(3x+1\right)\left(2x-1\right)^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 27x^{2}+18x+3 ki te 2x-1 ka whakakotahi i ngā kupu rite.
54x^{3}+9x^{2}-12x-3+9\left(3x+1\right)\left(4x^{2}-4x+1\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-1\right)^{2}.
54x^{3}+9x^{2}-12x-3+\left(27x+9\right)\left(4x^{2}-4x+1\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te 3x+1.
54x^{3}+9x^{2}-12x-3+108x^{3}-72x^{2}-9x+9
Whakamahia te āhuatanga tuaritanga hei whakarea te 27x+9 ki te 4x^{2}-4x+1 ka whakakotahi i ngā kupu rite.
162x^{3}+9x^{2}-12x-3-72x^{2}-9x+9
Pahekotia te 54x^{3} me 108x^{3}, ka 162x^{3}.
162x^{3}-63x^{2}-12x-3-9x+9
Pahekotia te 9x^{2} me -72x^{2}, ka -63x^{2}.
162x^{3}-63x^{2}-21x-3+9
Pahekotia te -12x me -9x, ka -21x.
162x^{3}-63x^{2}-21x+6
Tāpirihia te -3 ki te 9, ka 6.