Whakaoti i te (x+11)^2+(y-5)^2-(x-y)

$$( x + 11 ) ^ { 2 } + ( y - 5 ) ^ { 2 } - ( x - y )$$

Aromātai

$$\left(x+11\right)^{2}+\left(y-5\right)^{2}+y-x$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+11\right)^{2}.

$$x^{2}+22x+121+\left(y-5\right)^{2}-\left(x-y\right)$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(y-5\right)^{2}.

$$x^{2}+22x+121+y^{2}-10y+25-\left(x-y\right)$$

Tāpirihia te 121 ki te 25, ka 146.

$$x^{2}+22x+146+y^{2}-10y-\left(x-y\right)$$

Hei kimi i te tauaro o x-y, kimihia te tauaro o ia taurangi.

$$x^{2}+22x+146+y^{2}-10y-x+y$$

Pahekotia te 22x me -x, ka 21x.

$$x^{2}+21x+146+y^{2}-10y+y$$

Pahekotia te -10y me y, ka -9y.

$$x^{2}+21x+146+y^{2}-9y$$

Whakaroha

$$x^{2}+21x+y^{2}-9y+146$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+11\right)^{2}.

$$x^{2}+22x+121+\left(y-5\right)^{2}-\left(x-y\right)$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(y-5\right)^{2}.

$$x^{2}+22x+121+y^{2}-10y+25-\left(x-y\right)$$

Tāpirihia te 121 ki te 25, ka 146.

$$x^{2}+22x+146+y^{2}-10y-\left(x-y\right)$$

Hei kimi i te tauaro o x-y, kimihia te tauaro o ia taurangi.

$$x^{2}+22x+146+y^{2}-10y-x+y$$

Pahekotia te 22x me -x, ka 21x.

$$x^{2}+21x+146+y^{2}-10y+y$$

Pahekotia te -10y me y, ka -9y.

$$x^{2}+21x+146+y^{2}-9y$$