Issolvi 2xleft(x^2+1right)-3xleft(x^2-x+1right)-left(-x^3+x^2-xright)

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

Evalwa

$$2x^{2}$$

Passi tas-Soluzzjonijiet

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

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

Biex issib l-oppost ta' -x^{3}+x^{2}-x, sib l-oppost ta' kull terminu.

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

Uża l-propjetà distributtiva biex timmultiplika -3x b'x^{2}-x+1.

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

Ikkombina 2x^{3} u -3x^{3} biex tikseb -x^{3}.

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

Ikkombina 2x u -3x biex tikseb -x.

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

Immultiplika -1 u -1 biex tikseb 1.

$$-x^{3}-x+3x^{2}+x^{3}-x^{2}+x$$

Ikkombina -x^{3} u x^{3} biex tikseb 0.

$$-x+3x^{2}-x^{2}+x$$

Ikkombina 3x^{2} u -x^{2} biex tikseb 2x^{2}.

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

Ikkombina -x u x biex tikseb 0.

$$2x^{2}$$

Espandi

$$2x^{2}$$

Passi tas-Soluzzjonijiet

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

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

Biex issib l-oppost ta' -x^{3}+x^{2}-x, sib l-oppost ta' kull terminu.

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

Uża l-propjetà distributtiva biex timmultiplika -3x b'x^{2}-x+1.

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

Ikkombina 2x^{3} u -3x^{3} biex tikseb -x^{3}.

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

Ikkombina 2x u -3x biex tikseb -x.

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

Immultiplika -1 u -1 biex tikseb 1.

$$-x^{3}-x+3x^{2}+x^{3}-x^{2}+x$$

Ikkombina -x^{3} u x^{3} biex tikseb 0.

$$-x+3x^{2}-x^{2}+x$$

Ikkombina 3x^{2} u -x^{2} biex tikseb 2x^{2}.

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

Ikkombina -x u x biex tikseb 0.

$$2x^{2}$$