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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

30x^{2}-61x-21-\left(3x-7\right)^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 10x+3 ki te 3x-7 ka whakakotahi i ngā kupu rite.
30x^{2}-61x-21-\left(9x^{2}-42x+49\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3x-7\right)^{2}.
30x^{2}-61x-21-9x^{2}+42x-49
Hei kimi i te tauaro o 9x^{2}-42x+49, kimihia te tauaro o ia taurangi.
21x^{2}-61x-21+42x-49
Pahekotia te 30x^{2} me -9x^{2}, ka 21x^{2}.
21x^{2}-19x-21-49
Pahekotia te -61x me 42x, ka -19x.
21x^{2}-19x-70
Tangohia te 49 i te -21, ka -70.
30x^{2}-61x-21-\left(3x-7\right)^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 10x+3 ki te 3x-7 ka whakakotahi i ngā kupu rite.
30x^{2}-61x-21-\left(9x^{2}-42x+49\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3x-7\right)^{2}.
30x^{2}-61x-21-9x^{2}+42x-49
Hei kimi i te tauaro o 9x^{2}-42x+49, kimihia te tauaro o ia taurangi.
21x^{2}-61x-21+42x-49
Pahekotia te 30x^{2} me -9x^{2}, ka 21x^{2}.
21x^{2}-19x-21-49
Pahekotia te -61x me 42x, ka -19x.
21x^{2}-19x-70
Tangohia te 49 i te -21, ka -70.