Lutasin ang (x+1)(x-(3-2i))(x-(3+2i))

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

I-evaluate

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

Mga Hakbang ng Solution

Gamitin ang distributive property para i-multiply ang x+1 gamit ang x-\left(3-2i\right).

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

Gamitin ang distributive property para i-multiply ang x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) gamit ang x-\left(3+2i\right).

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

I-multiply ang -1 at 3-2i para makuha ang -3+2i.

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

I-multiply ang -1 at 3+2i para makuha ang -3-2i.

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

Gamitin ang distributive property para i-multiply ang x gamit ang x+\left(-3+2i\right).

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

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng x^{2}+\left(-3+2i\right)x sa bawat term ng x+\left(-3-2i\right).

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

Pagsamahin ang \left(-3-2i\right)x^{2} at \left(-3+2i\right)x^{2} para makuha ang -6x^{2}.

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

I-multiply ang -1 at 3-2i para makuha ang -3+2i.

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

I-multiply ang -1 at 3+2i para makuha ang -3-2i.

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

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng x+\left(-3+2i\right) sa bawat term ng x+\left(-3-2i\right).

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

Pagsamahin ang \left(-3-2i\right)x at \left(-3+2i\right)x para makuha ang -6x.

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

Pagsamahin ang -6x^{2} at x^{2} para makuha ang -5x^{2}.

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

Pagsamahin ang 13x at -6x para makuha ang 7x.

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

Palawakin

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

Mga Hakbang ng Solution

Gamitin ang distributive property para i-multiply ang x+1 gamit ang x-\left(3-2i\right).

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

Gamitin ang distributive property para i-multiply ang x\left(x-\left(3-2i\right)\right)+x-\left(3-2i\right) gamit ang x-\left(3+2i\right).

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

I-multiply ang -1 at 3-2i para makuha ang -3+2i.

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

I-multiply ang -1 at 3+2i para makuha ang -3-2i.

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

Gamitin ang distributive property para i-multiply ang x gamit ang x+\left(-3+2i\right).

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

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng x^{2}+\left(-3+2i\right)x sa bawat term ng x+\left(-3-2i\right).

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

Pagsamahin ang \left(-3-2i\right)x^{2} at \left(-3+2i\right)x^{2} para makuha ang -6x^{2}.

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

I-multiply ang -1 at 3-2i para makuha ang -3+2i.

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

I-multiply ang -1 at 3+2i para makuha ang -3-2i.

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

Ilapat ang distributive property sa pamamagitan ng pag-multiply sa bawat term ng x+\left(-3+2i\right) sa bawat term ng x+\left(-3-2i\right).

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

Pagsamahin ang \left(-3-2i\right)x at \left(-3+2i\right)x para makuha ang -6x.

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

Pagsamahin ang -6x^{2} at x^{2} para makuha ang -5x^{2}.

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

Pagsamahin ang 13x at -6x para makuha ang 7x.

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