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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(x^{2}+6x+9\right)\left(3x-2\right)+2-3x
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+3\right)^{2}.
3x^{3}+16x^{2}+15x-18+2-3x
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}+6x+9 ki te 3x-2 ka whakakotahi i ngā kupu rite.
3x^{3}+16x^{2}+15x-16-3x
Tāpirihia te -18 ki te 2, ka -16.
3x^{3}+16x^{2}+12x-16
Pahekotia te 15x me -3x, ka 12x.
\left(x^{2}+6x+9\right)\left(3x-2\right)+2-3x
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+3\right)^{2}.
3x^{3}+16x^{2}+15x-18+2-3x
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}+6x+9 ki te 3x-2 ka whakakotahi i ngā kupu rite.
3x^{3}+16x^{2}+15x-16-3x
Tāpirihia te -18 ki te 2, ka -16.
3x^{3}+16x^{2}+12x-16
Pahekotia te 15x me -3x, ka 12x.