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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

4x^{2}-4xy+y^{2}-\left(x-5y\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-y\right)^{2}.
4x^{2}-4xy+y^{2}-\left(x^{2}-10xy+25y^{2}\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-5y\right)^{2}.
4x^{2}-4xy+y^{2}-x^{2}+10xy-25y^{2}
Hei kimi i te tauaro o x^{2}-10xy+25y^{2}, kimihia te tauaro o ia taurangi.
3x^{2}-4xy+y^{2}+10xy-25y^{2}
Pahekotia te 4x^{2} me -x^{2}, ka 3x^{2}.
3x^{2}+6xy+y^{2}-25y^{2}
Pahekotia te -4xy me 10xy, ka 6xy.
3x^{2}+6xy-24y^{2}
Pahekotia te y^{2} me -25y^{2}, ka -24y^{2}.
4x^{2}-4xy+y^{2}-\left(x-5y\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-y\right)^{2}.
4x^{2}-4xy+y^{2}-\left(x^{2}-10xy+25y^{2}\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-5y\right)^{2}.
4x^{2}-4xy+y^{2}-x^{2}+10xy-25y^{2}
Hei kimi i te tauaro o x^{2}-10xy+25y^{2}, kimihia te tauaro o ia taurangi.
3x^{2}-4xy+y^{2}+10xy-25y^{2}
Pahekotia te 4x^{2} me -x^{2}, ka 3x^{2}.
3x^{2}+6xy+y^{2}-25y^{2}
Pahekotia te -4xy me 10xy, ka 6xy.
3x^{2}+6xy-24y^{2}
Pahekotia te y^{2} me -25y^{2}, ka -24y^{2}.