Issolvi (x+1)(x-(3-2i))(x-(3+2i))

$$( x + 1 ) ( x - ( 3 - 2 i ) ) ( x - ( 3 + 2 i ) )$$

Evalwa

$$\left(x+1\right)\left(x+\left(-3-2i\right)\right)\left(x+\left(-3+2i\right)\right)$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika x+1 b'x-\left(3-2i\right).

$$\left(x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Uża l-propjetà distributtiva biex timmultiplika x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) b'x-\left(3+2i\right).

$$x\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3-2i biex tikseb -3+2i.

$$x\left(x+\left(-3+2i\right)\right)\left(x-\left(3+2i\right)\right)+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3+2i biex tikseb -3-2i.

$$x\left(x+\left(-3+2i\right)\right)\left(x+\left(-3-2i\right)\right)+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Uża l-propjetà distributtiva biex timmultiplika x b'x+\left(-3+2i\right).

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x^{2}+\left(-3+2i\right)x b'kull terminu ta' x+\left(-3-2i\right).

$$x^{3}+\left(-3-2i\right)x^{2}+\left(-3+2i\right)x^{2}+13x+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Ikkombina \left(-3-2i\right)x^{2} u \left(-3+2i\right)x^{2} biex tikseb -6x^{2}.

$$x^{3}-6x^{2}+13x+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3-2i biex tikseb -3+2i.

$$x^{3}-6x^{2}+13x+\left(x+\left(-3+2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3+2i biex tikseb -3-2i.

$$x^{3}-6x^{2}+13x+\left(x+\left(-3+2i\right)\right)\left(x+\left(-3-2i\right)\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x+\left(-3+2i\right) b'kull terminu ta' x+\left(-3-2i\right).

$$x^{3}-6x^{2}+13x+x^{2}+\left(-3-2i\right)x+\left(-3+2i\right)x+13$$

Ikkombina \left(-3-2i\right)x u \left(-3+2i\right)x biex tikseb -6x.

$$x^{3}-6x^{2}+13x+x^{2}-6x+13$$

Ikkombina -6x^{2} u x^{2} biex tikseb -5x^{2}.

$$x^{3}-5x^{2}+13x-6x+13$$

Ikkombina 13x u -6x biex tikseb 7x.

$$x^{3}-5x^{2}+7x+13$$

Espandi

$$x^{3}-5x^{2}+7x+13$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika x+1 b'x-\left(3-2i\right).

$$\left(x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Uża l-propjetà distributtiva biex timmultiplika x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) b'x-\left(3+2i\right).

$$x\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3-2i biex tikseb -3+2i.

$$x\left(x+\left(-3+2i\right)\right)\left(x-\left(3+2i\right)\right)+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3+2i biex tikseb -3-2i.

$$x\left(x+\left(-3+2i\right)\right)\left(x+\left(-3-2i\right)\right)+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Uża l-propjetà distributtiva biex timmultiplika x b'x+\left(-3+2i\right).

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x^{2}+\left(-3+2i\right)x b'kull terminu ta' x+\left(-3-2i\right).

$$x^{3}+\left(-3-2i\right)x^{2}+\left(-3+2i\right)x^{2}+13x+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Ikkombina \left(-3-2i\right)x^{2} u \left(-3+2i\right)x^{2} biex tikseb -6x^{2}.

$$x^{3}-6x^{2}+13x+\left(x-\left(3-2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3-2i biex tikseb -3+2i.

$$x^{3}-6x^{2}+13x+\left(x+\left(-3+2i\right)\right)\left(x-\left(3+2i\right)\right)$$

Immultiplika -1 u 3+2i biex tikseb -3-2i.

$$x^{3}-6x^{2}+13x+\left(x+\left(-3+2i\right)\right)\left(x+\left(-3-2i\right)\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' x+\left(-3+2i\right) b'kull terminu ta' x+\left(-3-2i\right).

$$x^{3}-6x^{2}+13x+x^{2}+\left(-3-2i\right)x+\left(-3+2i\right)x+13$$

Ikkombina \left(-3-2i\right)x u \left(-3+2i\right)x biex tikseb -6x.

$$x^{3}-6x^{2}+13x+x^{2}-6x+13$$

Ikkombina -6x^{2} u x^{2} biex tikseb -5x^{2}.

$$x^{3}-5x^{2}+13x-6x+13$$

Ikkombina 13x u -6x biex tikseb 7x.

$$x^{3}-5x^{2}+7x+13$$