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

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

Izrēķināt

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

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, lai reizinātu x+1 ar x-\left(3-2i\right).

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

Izmantojiet distributīvo īpašību, lai reizinātu x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) ar x-\left(3+2i\right).

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

Reiziniet -1 un 3-2i, lai iegūtu -3+2i.

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

Reiziniet -1 un 3+2i, lai iegūtu -3-2i.

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

Izmantojiet distributīvo īpašību, lai reizinātu x ar x+\left(-3+2i\right).

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

Izmantojiet distributīvo īpašību, katru x^{2}+\left(-3+2i\right)x locekli reizinot ar katru x+\left(-3-2i\right) locekli.

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

Savelciet \left(-3-2i\right)x^{2} un \left(-3+2i\right)x^{2}, lai iegūtu -6x^{2}.

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

Reiziniet -1 un 3-2i, lai iegūtu -3+2i.

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

Reiziniet -1 un 3+2i, lai iegūtu -3-2i.

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

Izmantojiet distributīvo īpašību, katru x+\left(-3+2i\right) locekli reizinot ar katru x+\left(-3-2i\right) locekli.

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

Savelciet \left(-3-2i\right)x un \left(-3+2i\right)x, lai iegūtu -6x.

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

Savelciet -6x^{2} un x^{2}, lai iegūtu -5x^{2}.

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

Savelciet 13x un -6x, lai iegūtu 7x.

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

Paplašināt

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

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, lai reizinātu x+1 ar x-\left(3-2i\right).

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

Izmantojiet distributīvo īpašību, lai reizinātu x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) ar x-\left(3+2i\right).

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

Reiziniet -1 un 3-2i, lai iegūtu -3+2i.

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

Reiziniet -1 un 3+2i, lai iegūtu -3-2i.

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

Izmantojiet distributīvo īpašību, lai reizinātu x ar x+\left(-3+2i\right).

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

Izmantojiet distributīvo īpašību, katru x^{2}+\left(-3+2i\right)x locekli reizinot ar katru x+\left(-3-2i\right) locekli.

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

Savelciet \left(-3-2i\right)x^{2} un \left(-3+2i\right)x^{2}, lai iegūtu -6x^{2}.

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

Reiziniet -1 un 3-2i, lai iegūtu -3+2i.

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

Reiziniet -1 un 3+2i, lai iegūtu -3-2i.

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

Izmantojiet distributīvo īpašību, katru x+\left(-3+2i\right) locekli reizinot ar katru x+\left(-3-2i\right) locekli.

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

Savelciet \left(-3-2i\right)x un \left(-3+2i\right)x, lai iegūtu -6x.

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

Savelciet -6x^{2} un x^{2}, lai iegūtu -5x^{2}.

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

Savelciet 13x un -6x, lai iegūtu 7x.

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