Whakaoti i te (x+1)(x-(3-2i))(x-(3+2i))

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

Aromātai

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

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te x+1 ki te x-\left(3-2i\right).

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

Whakamahia te āhuatanga tohatoha hei whakarea te x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) ki te x-\left(3+2i\right).

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

Whakareatia te -1 ki te 3-2i, ka -3+2i.

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

Whakareatia te -1 ki te 3+2i, ka -3-2i.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te x+\left(-3+2i\right).

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

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x^{2}+\left(-3+2i\right)x ki ia tau o x+\left(-3-2i\right).

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

Pahekotia te \left(-3-2i\right)x^{2} me \left(-3+2i\right)x^{2}, ka -6x^{2}.

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

Whakareatia te -1 ki te 3-2i, ka -3+2i.

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

Whakareatia te -1 ki te 3+2i, ka -3-2i.

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

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x+\left(-3+2i\right) ki ia tau o x+\left(-3-2i\right).

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

Pahekotia te \left(-3-2i\right)x me \left(-3+2i\right)x, ka -6x.

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

Pahekotia te -6x^{2} me x^{2}, ka -5x^{2}.

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

Pahekotia te 13x me -6x, ka 7x.

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

Whakaroha

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

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te x+1 ki te x-\left(3-2i\right).

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

Whakamahia te āhuatanga tohatoha hei whakarea te x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) ki te x-\left(3+2i\right).

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

Whakareatia te -1 ki te 3-2i, ka -3+2i.

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

Whakareatia te -1 ki te 3+2i, ka -3-2i.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te x+\left(-3+2i\right).

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

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x^{2}+\left(-3+2i\right)x ki ia tau o x+\left(-3-2i\right).

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

Pahekotia te \left(-3-2i\right)x^{2} me \left(-3+2i\right)x^{2}, ka -6x^{2}.

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

Whakareatia te -1 ki te 3-2i, ka -3+2i.

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

Whakareatia te -1 ki te 3+2i, ka -3-2i.

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

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x+\left(-3+2i\right) ki ia tau o x+\left(-3-2i\right).

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

Pahekotia te \left(-3-2i\right)x me \left(-3+2i\right)x, ka -6x.

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

Pahekotia te -6x^{2} me x^{2}, ka -5x^{2}.

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

Pahekotia te 13x me -6x, ka 7x.

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