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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

4x^{2}-12x+9-5\left(2x-3\right)\left(x+1\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3\right)^{2}.
4x^{2}-12x+9+\left(-10x+15\right)\left(x+1\right)
Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 2x-3.
4x^{2}-12x+9-10x^{2}+5x+15
Whakamahia te āhuatanga tuaritanga hei whakarea te -10x+15 ki te x+1 ka whakakotahi i ngā kupu rite.
-6x^{2}-12x+9+5x+15
Pahekotia te 4x^{2} me -10x^{2}, ka -6x^{2}.
-6x^{2}-7x+9+15
Pahekotia te -12x me 5x, ka -7x.
-6x^{2}-7x+24
Tāpirihia te 9 ki te 15, ka 24.
4x^{2}-12x+9-5\left(2x-3\right)\left(x+1\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3\right)^{2}.
4x^{2}-12x+9+\left(-10x+15\right)\left(x+1\right)
Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 2x-3.
4x^{2}-12x+9-10x^{2}+5x+15
Whakamahia te āhuatanga tuaritanga hei whakarea te -10x+15 ki te x+1 ka whakakotahi i ngā kupu rite.
-6x^{2}-12x+9+5x+15
Pahekotia te 4x^{2} me -10x^{2}, ka -6x^{2}.
-6x^{2}-7x+9+15
Pahekotia te -12x me 5x, ka -7x.
-6x^{2}-7x+24
Tāpirihia te 9 ki te 15, ka 24.