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Whakaroha
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Tohaina

4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x-\frac{1}{2}\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2x+\frac{1}{3}\right)^{2}.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x^{2}-x+\frac{1}{4}\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{2}\right)^{2}.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-x^{2}+x-\frac{1}{4}
Hei kimi i te tauaro o x^{2}-x+\frac{1}{4}, kimihia te tauaro o ia taurangi.
3x^{2}+\frac{4}{3}x+\frac{1}{9}+x-\frac{1}{4}
Pahekotia te 4x^{2} me -x^{2}, ka 3x^{2}.
3x^{2}+\frac{7}{3}x+\frac{1}{9}-\frac{1}{4}
Pahekotia te \frac{4}{3}x me x, ka \frac{7}{3}x.
3x^{2}+\frac{7}{3}x-\frac{5}{36}
Tangohia te \frac{1}{4} i te \frac{1}{9}, ka -\frac{5}{36}.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x-\frac{1}{2}\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2x+\frac{1}{3}\right)^{2}.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-\left(x^{2}-x+\frac{1}{4}\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{2}\right)^{2}.
4x^{2}+\frac{4}{3}x+\frac{1}{9}-x^{2}+x-\frac{1}{4}
Hei kimi i te tauaro o x^{2}-x+\frac{1}{4}, kimihia te tauaro o ia taurangi.
3x^{2}+\frac{4}{3}x+\frac{1}{9}+x-\frac{1}{4}
Pahekotia te 4x^{2} me -x^{2}, ka 3x^{2}.
3x^{2}+\frac{7}{3}x+\frac{1}{9}-\frac{1}{4}
Pahekotia te \frac{4}{3}x me x, ka \frac{7}{3}x.
3x^{2}+\frac{7}{3}x-\frac{5}{36}
Tangohia te \frac{1}{4} i te \frac{1}{9}, ka -\frac{5}{36}.