Issolvi (y-2)(y2+2y+4)-(y2+1)(y-1)

$$( y - 2 ) ( y 2 + 2 y + 4 ) - ( y 2 + 1 ) ( y - 1 )$$

Evalwa

$$2y^{2}-y-y_{2}-7$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' y-2 b'kull terminu ta' y_{2}+2y+4.

$$yy_{2}+2y^{2}+4y-2y_{2}-4y-8-\left(y_{2}+1\right)\left(y-1\right)$$

Ikkombina 4y u -4y biex tikseb 0.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}+1\right)\left(y-1\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' y_{2}+1 b'kull terminu ta' y-1.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}y-y_{2}+y-1\right)$$

Biex issib l-oppost ta' y_{2}y-y_{2}+y-1, sib l-oppost ta' kull terminu.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y-\left(-y_{2}\right)-y-\left(-1\right)$$

L-oppost ta' -y_{2} huwa y_{2}.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y-\left(-1\right)$$

L-oppost ta' -1 huwa 1.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y+1$$

Ikkombina yy_{2} u -y_{2}y biex tikseb 0.

$$2y^{2}-2y_{2}-8+y_{2}-y+1$$

Ikkombina -2y_{2} u y_{2} biex tikseb -y_{2}.

$$2y^{2}-y_{2}-8-y+1$$

Żid -8 u 1 biex tikseb -7.

$$2y^{2}-y_{2}-7-y$$

Espandi

$$2y^{2}-y-y_{2}-7$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' y-2 b'kull terminu ta' y_{2}+2y+4.

$$yy_{2}+2y^{2}+4y-2y_{2}-4y-8-\left(y_{2}+1\right)\left(y-1\right)$$

Ikkombina 4y u -4y biex tikseb 0.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}+1\right)\left(y-1\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' y_{2}+1 b'kull terminu ta' y-1.

$$yy_{2}+2y^{2}-2y_{2}-8-\left(y_{2}y-y_{2}+y-1\right)$$

Biex issib l-oppost ta' y_{2}y-y_{2}+y-1, sib l-oppost ta' kull terminu.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y-\left(-y_{2}\right)-y-\left(-1\right)$$

L-oppost ta' -y_{2} huwa y_{2}.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y-\left(-1\right)$$

L-oppost ta' -1 huwa 1.

$$yy_{2}+2y^{2}-2y_{2}-8-y_{2}y+y_{2}-y+1$$

Ikkombina yy_{2} u -y_{2}y biex tikseb 0.

$$2y^{2}-2y_{2}-8+y_{2}-y+1$$

Ikkombina -2y_{2} u y_{2} biex tikseb -y_{2}.

$$2y^{2}-y_{2}-8-y+1$$

Żid -8 u 1 biex tikseb -7.

$$2y^{2}-y_{2}-7-y$$