Issolvi (2y-1)(4y^2+2y+1)-y*(y-1)(y+1)

$$(2y-1)(4 { y }^{ 2 } +2y+1)-y \times (y-1)(y+1)$$

Evalwa

$$7y^{3}+y-1$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2y-1 b'4y^{2}+2y+1 u kkombina termini simili.

$$8y^{3}-1-y\left(y-1\right)\left(y+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika y b'y-1.

$$8y^{3}-1-\left(y^{2}-y\right)\left(y+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika y^{2}-y b'y+1 u kkombina termini simili.

$$8y^{3}-1-\left(y^{3}-y\right)$$

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

$$8y^{3}-1-y^{3}+y$$

Ikkombina 8y^{3} u -y^{3} biex tikseb 7y^{3}.

$$7y^{3}-1+y$$

Espandi

$$7y^{3}+y-1$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2y-1 b'4y^{2}+2y+1 u kkombina termini simili.

$$8y^{3}-1-y\left(y-1\right)\left(y+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika y b'y-1.

$$8y^{3}-1-\left(y^{2}-y\right)\left(y+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika y^{2}-y b'y+1 u kkombina termini simili.

$$8y^{3}-1-\left(y^{3}-y\right)$$

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

$$8y^{3}-1-y^{3}+y$$

Ikkombina 8y^{3} u -y^{3} biex tikseb 7y^{3}.

$$7y^{3}-1+y$$