Issolvi (1-sqrt{3})^2+2(3+sqrt{3})

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

Evalwa

$$10$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(1-\sqrt{3}\right)^{2}.

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

Il-kwadrat ta' \sqrt{3} huwa 3.

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

Żid 1 u 3 biex tikseb 4.

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'3+\sqrt{3}.

$$4-2\sqrt{3}+6+2\sqrt{3}$$

Żid 4 u 6 biex tikseb 10.

$$10-2\sqrt{3}+2\sqrt{3}$$

Ikkombina -2\sqrt{3} u 2\sqrt{3} biex tikseb 0.

$$10$$

Fattur

$$2\times 5$$