Aromātai
2\left(x^{2}+2x-2\right)
Whakaroha
2x^{2}+4x-4
Graph
Tohaina
Kua tāruatia ki te papatopenga
3\left(x^{2}+4x+4\right)-\left(x+4\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+2\right)^{2}.
3x^{2}+12x+12-\left(x+4\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x^{2}+4x+4.
3x^{2}+12x+12-\left(x^{2}+8x+16\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+4\right)^{2}.
3x^{2}+12x+12-x^{2}-8x-16
Hei kimi i te tauaro o x^{2}+8x+16, kimihia te tauaro o ia taurangi.
2x^{2}+12x+12-8x-16
Pahekotia te 3x^{2} me -x^{2}, ka 2x^{2}.
2x^{2}+4x+12-16
Pahekotia te 12x me -8x, ka 4x.
2x^{2}+4x-4
Tangohia te 16 i te 12, ka -4.
3\left(x^{2}+4x+4\right)-\left(x+4\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+2\right)^{2}.
3x^{2}+12x+12-\left(x+4\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x^{2}+4x+4.
3x^{2}+12x+12-\left(x^{2}+8x+16\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+4\right)^{2}.
3x^{2}+12x+12-x^{2}-8x-16
Hei kimi i te tauaro o x^{2}+8x+16, kimihia te tauaro o ia taurangi.
2x^{2}+12x+12-8x-16
Pahekotia te 3x^{2} me -x^{2}, ka 2x^{2}.
2x^{2}+4x+12-16
Pahekotia te 12x me -8x, ka 4x.
2x^{2}+4x-4
Tangohia te 16 i te 12, ka -4.
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