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

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

Enrhifo

$$26$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2\sqrt{3}-1\right)^{2}.

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

Sgwâr \sqrt{3} yw 3.

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

Lluosi 4 a 3 i gael 12.

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

Adio 12 a 1 i gael 13.

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

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2\sqrt{3}+1\right)^{2}.

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

Sgwâr \sqrt{3} yw 3.

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

Lluosi 4 a 3 i gael 12.

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

Adio 12 a 1 i gael 13.

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

Adio 13 a 13 i gael 26.

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

Cyfuno -4\sqrt{3} a 4\sqrt{3} i gael 0.

$$26$$

Ffactor

$$2\times 13$$