Whakaoti i te (3x+1)^2+(2x-3)^2+(2-x)^2=

$$( 3 x + 1 ) ^ { 2 } + ( 2 x - 3 ) ^ { 2 } + ( 2 - x ) ^ { 2 } =$$

Aromātai

$$14x^{2}-10x+14$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(3x+1\right)^{2}.

$$9x^{2}+6x+1+\left(2x-3\right)^{2}+\left(2-x\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3\right)^{2}.

$$9x^{2}+6x+1+4x^{2}-12x+9+\left(2-x\right)^{2}$$

Pahekotia te 9x^{2} me 4x^{2}, ka 13x^{2}.

$$13x^{2}+6x+1-12x+9+\left(2-x\right)^{2}$$

Pahekotia te 6x me -12x, ka -6x.

$$13x^{2}-6x+1+9+\left(2-x\right)^{2}$$

Tāpirihia te 1 ki te 9, ka 10.

$$13x^{2}-6x+10+\left(2-x\right)^{2}$$

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

$$13x^{2}-6x+10+4-4x+x^{2}$$

Tāpirihia te 10 ki te 4, ka 14.

$$13x^{2}-6x+14-4x+x^{2}$$

Pahekotia te -6x me -4x, ka -10x.

$$13x^{2}-10x+14+x^{2}$$

Pahekotia te 13x^{2} me x^{2}, ka 14x^{2}.

$$14x^{2}-10x+14$$

Whakaroha

$$14x^{2}-10x+14$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(3x+1\right)^{2}.

$$9x^{2}+6x+1+\left(2x-3\right)^{2}+\left(2-x\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3\right)^{2}.

$$9x^{2}+6x+1+4x^{2}-12x+9+\left(2-x\right)^{2}$$

Pahekotia te 9x^{2} me 4x^{2}, ka 13x^{2}.

$$13x^{2}+6x+1-12x+9+\left(2-x\right)^{2}$$

Pahekotia te 6x me -12x, ka -6x.

$$13x^{2}-6x+1+9+\left(2-x\right)^{2}$$

Tāpirihia te 1 ki te 9, ka 10.

$$13x^{2}-6x+10+\left(2-x\right)^{2}$$

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

$$13x^{2}-6x+10+4-4x+x^{2}$$

Tāpirihia te 10 ki te 4, ka 14.

$$13x^{2}-6x+14-4x+x^{2}$$

Pahekotia te -6x me -4x, ka -10x.

$$13x^{2}-10x+14+x^{2}$$

Pahekotia te 13x^{2} me x^{2}, ka 14x^{2}.

$$14x^{2}-10x+14$$