Solve x(x-i)(x+i)

$$x ( x - i ) ( x + i )$$

Evaluate

$$x^{3}+x$$

Solution Steps

Use the distributive property to multiply x by x-i.

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

Apply the distributive property by multiplying each term of x^{2}-ix by each term of x+i.

$$x^{3}+ix^{2}-ix^{2}+x$$

Combine ix^{2} and -ix^{2} to get 0.

$$x^{3}+x$$

Expand

$$x^{3}+x$$

Solution Steps

Use the distributive property to multiply x by x-i.

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

Apply the distributive property by multiplying each term of x^{2}-ix by each term of x+i.

$$x^{3}+ix^{2}-ix^{2}+x$$

Combine ix^{2} and -ix^{2} to get 0.

$$x^{3}+x$$