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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

4a^{2}+12a+9-3\left(2a-1\right)\left(a+4\right)
Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(2a+3\right)^{2}.
4a^{2}+12a+9+\left(-6a+3\right)\left(a+4\right)
Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 2a-1.
4a^{2}+12a+9-6a^{2}-21a+12
Whakamahia te āhuatanga tuaritanga hei whakarea te -6a+3 ki te a+4 ka whakakotahi i ngā kupu rite.
-2a^{2}+12a+9-21a+12
Pahekotia te 4a^{2} me -6a^{2}, ka -2a^{2}.
-2a^{2}-9a+9+12
Pahekotia te 12a me -21a, ka -9a.
-2a^{2}-9a+21
Tāpirihia te 9 ki te 12, ka 21.
4a^{2}+12a+9-3\left(2a-1\right)\left(a+4\right)
Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(2a+3\right)^{2}.
4a^{2}+12a+9+\left(-6a+3\right)\left(a+4\right)
Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 2a-1.
4a^{2}+12a+9-6a^{2}-21a+12
Whakamahia te āhuatanga tuaritanga hei whakarea te -6a+3 ki te a+4 ka whakakotahi i ngā kupu rite.
-2a^{2}+12a+9-21a+12
Pahekotia te 4a^{2} me -6a^{2}, ka -2a^{2}.
-2a^{2}-9a+9+12
Pahekotia te 12a me -21a, ka -9a.
-2a^{2}-9a+21
Tāpirihia te 9 ki te 12, ka 21.