Whakaoti i te (x+5)^2+2(x+5)(y-1)+(y-1)^2

$$( x + 5 ) ^ { 2 } + 2 ( x + 5 ) ( y - 1 ) + ( y - 1 ) ^ { 2 }$$

Aromātai

$$\left(x+y+4\right)^{2}$$

Ngā Upane Otinga

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

$$x^{2}+10x+25+2\left(x+5\right)\left(y-1\right)+\left(y-1\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+5.

$$x^{2}+10x+25+\left(2x+10\right)\left(y-1\right)+\left(y-1\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x+10 ki te y-1.

$$x^{2}+10x+25+2xy-2x+10y-10+\left(y-1\right)^{2}$$

Pahekotia te 10x me -2x, ka 8x.

$$x^{2}+8x+25+2xy+10y-10+\left(y-1\right)^{2}$$

Tangohia te 10 i te 25, ka 15.

$$x^{2}+8x+15+2xy+10y+\left(y-1\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(y-1\right)^{2}.

$$x^{2}+8x+15+2xy+10y+y^{2}-2y+1$$

Pahekotia te 10y me -2y, ka 8y.

$$x^{2}+8x+15+2xy+8y+y^{2}+1$$

Tāpirihia te 15 ki te 1, ka 16.

$$x^{2}+8x+16+2xy+8y+y^{2}$$

Whakaroha

$$x^{2}+2xy+8x+y^{2}+8y+16$$

Ngā Upane Otinga

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

$$x^{2}+10x+25+2\left(x+5\right)\left(y-1\right)+\left(y-1\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+5.

$$x^{2}+10x+25+\left(2x+10\right)\left(y-1\right)+\left(y-1\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x+10 ki te y-1.

$$x^{2}+10x+25+2xy-2x+10y-10+\left(y-1\right)^{2}$$

Pahekotia te 10x me -2x, ka 8x.

$$x^{2}+8x+25+2xy+10y-10+\left(y-1\right)^{2}$$

Tangohia te 10 i te 25, ka 15.

$$x^{2}+8x+15+2xy+10y+\left(y-1\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(y-1\right)^{2}.

$$x^{2}+8x+15+2xy+10y+y^{2}-2y+1$$

Pahekotia te 10y me -2y, ka 8y.

$$x^{2}+8x+15+2xy+8y+y^{2}+1$$

Tāpirihia te 15 ki te 1, ka 16.

$$x^{2}+8x+16+2xy+8y+y^{2}$$