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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

4\left(x^{2}-2xy+y^{2}\right)-x\left(y-x\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-y\right)^{2}.
4x^{2}-8xy+4y^{2}-x\left(y-x\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x^{2}-2xy+y^{2}.
4x^{2}-8xy+4y^{2}-\left(xy-x^{2}\right)
Whakamahia te āhuatanga tohatoha hei whakarea te x ki te y-x.
4x^{2}-8xy+4y^{2}-xy+x^{2}
Hei kimi i te tauaro o xy-x^{2}, kimihia te tauaro o ia taurangi.
4x^{2}-9xy+4y^{2}+x^{2}
Pahekotia te -8xy me -xy, ka -9xy.
5x^{2}-9xy+4y^{2}
Pahekotia te 4x^{2} me x^{2}, ka 5x^{2}.
4\left(x^{2}-2xy+y^{2}\right)-x\left(y-x\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-y\right)^{2}.
4x^{2}-8xy+4y^{2}-x\left(y-x\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x^{2}-2xy+y^{2}.
4x^{2}-8xy+4y^{2}-\left(xy-x^{2}\right)
Whakamahia te āhuatanga tohatoha hei whakarea te x ki te y-x.
4x^{2}-8xy+4y^{2}-xy+x^{2}
Hei kimi i te tauaro o xy-x^{2}, kimihia te tauaro o ia taurangi.
4x^{2}-9xy+4y^{2}+x^{2}
Pahekotia te -8xy me -xy, ka -9xy.
5x^{2}-9xy+4y^{2}
Pahekotia te 4x^{2} me x^{2}, ka 5x^{2}.