Whakaoti i te {left(2sqrt{3}-1right)}^2+{left(2sqrt{3}+1right)}^2

$${ \left(2 \sqrt{ 3 } -1 \right) }^{ 2 } + { \left(2 \sqrt{ 3 } +1 \right) }^{ 2 }$$

Aromātai

$$26$$

Ngā Upane Otinga

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

$$4\left(\sqrt{3}\right)^{2}-4\sqrt{3}+1+\left(2\sqrt{3}+1\right)^{2}$$

Ko te pūrua o \sqrt{3} ko 3.

$$4\times 3-4\sqrt{3}+1+\left(2\sqrt{3}+1\right)^{2}$$

Whakareatia te 4 ki te 3, ka 12.

$$12-4\sqrt{3}+1+\left(2\sqrt{3}+1\right)^{2}$$

Tāpirihia te 12 ki te 1, ka 13.

$$13-4\sqrt{3}+\left(2\sqrt{3}+1\right)^{2}$$

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

$$13-4\sqrt{3}+4\left(\sqrt{3}\right)^{2}+4\sqrt{3}+1$$

Ko te pūrua o \sqrt{3} ko 3.

$$13-4\sqrt{3}+4\times 3+4\sqrt{3}+1$$

Whakareatia te 4 ki te 3, ka 12.

$$13-4\sqrt{3}+12+4\sqrt{3}+1$$

Tāpirihia te 12 ki te 1, ka 13.

$$13-4\sqrt{3}+13+4\sqrt{3}$$

Tāpirihia te 13 ki te 13, ka 26.

$$26-4\sqrt{3}+4\sqrt{3}$$

Pahekotia te -4\sqrt{3} me 4\sqrt{3}, ka 0.

$$26$$

Tauwehe

$$2\times 13$$