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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{2}-xy+\frac{1}{4}y^{2}+\left(x+\frac{1}{2}y\right)^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{2}y\right)^{2}.
x^{2}-xy+\frac{1}{4}y^{2}+x^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+\frac{1}{2}y\right)^{2}.
2x^{2}-xy+\frac{1}{4}y^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Pahekotia te x^{2} me x^{2}, ka 2x^{2}.
2x^{2}+\frac{1}{4}y^{2}+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Pahekotia te -xy me xy, ka 0.
2x^{2}+\frac{1}{2}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Pahekotia te \frac{1}{4}y^{2} me \frac{1}{4}y^{2}, ka \frac{1}{2}y^{2}.
2x^{2}+\frac{1}{2}y^{2}+\left(2x-y\right)\left(x+\frac{1}{2}y\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-\frac{1}{2}y.
2x^{2}+\frac{1}{2}y^{2}+2x^{2}-\frac{1}{2}y^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 2x-y ki te x+\frac{1}{2}y ka whakakotahi i ngā kupu rite.
4x^{2}+\frac{1}{2}y^{2}-\frac{1}{2}y^{2}
Pahekotia te 2x^{2} me 2x^{2}, ka 4x^{2}.
4x^{2}
Pahekotia te \frac{1}{2}y^{2} me -\frac{1}{2}y^{2}, ka 0.
x^{2}-xy+\frac{1}{4}y^{2}+\left(x+\frac{1}{2}y\right)^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{2}y\right)^{2}.
x^{2}-xy+\frac{1}{4}y^{2}+x^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+\frac{1}{2}y\right)^{2}.
2x^{2}-xy+\frac{1}{4}y^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Pahekotia te x^{2} me x^{2}, ka 2x^{2}.
2x^{2}+\frac{1}{4}y^{2}+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Pahekotia te -xy me xy, ka 0.
2x^{2}+\frac{1}{2}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Pahekotia te \frac{1}{4}y^{2} me \frac{1}{4}y^{2}, ka \frac{1}{2}y^{2}.
2x^{2}+\frac{1}{2}y^{2}+\left(2x-y\right)\left(x+\frac{1}{2}y\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-\frac{1}{2}y.
2x^{2}+\frac{1}{2}y^{2}+2x^{2}-\frac{1}{2}y^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 2x-y ki te x+\frac{1}{2}y ka whakakotahi i ngā kupu rite.
4x^{2}+\frac{1}{2}y^{2}-\frac{1}{2}y^{2}
Pahekotia te 2x^{2} me 2x^{2}, ka 4x^{2}.
4x^{2}
Pahekotia te \frac{1}{2}y^{2} me -\frac{1}{2}y^{2}, ka 0.