Issolvi 2left(x-1right)^2+4(x-1)+2

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

Evalwa

$$2x^{2}$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'x^{2}-2x+1.

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

Uża l-propjetà distributtiva biex timmultiplika 4 b'x-1.

$$2x^{2}-4x+2+4x-4+2$$

Ikkombina -4x u 4x biex tikseb 0.

$$2x^{2}+2-4+2$$

Naqqas 4 minn 2 biex tikseb -2.

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

Żid -2 u 2 biex tikseb 0.

$$2x^{2}$$

Espandi

$$2x^{2}$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'x^{2}-2x+1.

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

Uża l-propjetà distributtiva biex timmultiplika 4 b'x-1.

$$2x^{2}-4x+2+4x-4+2$$

Ikkombina -4x u 4x biex tikseb 0.

$$2x^{2}+2-4+2$$

Naqqas 4 minn 2 biex tikseb -2.

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

Żid -2 u 2 biex tikseb 0.

$$2x^{2}$$