Aromātai
9-2x^{2}
Whakaroha
9-2x^{2}
Graph
Tohaina
Kua tāruatia ki te papatopenga
2\left(x^{2}-6x+9\right)-\left(2x-3\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-3\right)^{2}.
2x^{2}-12x+18-\left(2x-3\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x^{2}-6x+9.
2x^{2}-12x+18-\left(4x^{2}-12x+9\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3\right)^{2}.
2x^{2}-12x+18-4x^{2}+12x-9
Hei kimi i te tauaro o 4x^{2}-12x+9, kimihia te tauaro o ia taurangi.
-2x^{2}-12x+18+12x-9
Pahekotia te 2x^{2} me -4x^{2}, ka -2x^{2}.
-2x^{2}+18-9
Pahekotia te -12x me 12x, ka 0.
-2x^{2}+9
Tangohia te 9 i te 18, ka 9.
2\left(x^{2}-6x+9\right)-\left(2x-3\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-3\right)^{2}.
2x^{2}-12x+18-\left(2x-3\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x^{2}-6x+9.
2x^{2}-12x+18-\left(4x^{2}-12x+9\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3\right)^{2}.
2x^{2}-12x+18-4x^{2}+12x-9
Hei kimi i te tauaro o 4x^{2}-12x+9, kimihia te tauaro o ia taurangi.
-2x^{2}-12x+18+12x-9
Pahekotia te 2x^{2} me -4x^{2}, ka -2x^{2}.
-2x^{2}+18-9
Pahekotia te -12x me 12x, ka 0.
-2x^{2}+9
Tangohia te 9 i te 18, ka 9.
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