Precalculus Examples

$(x - 4) (x + 3 i)$

Step 1

Expand $(x - 4) (x + 3 i)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x + 3 i) - 4 (x + 3 i)$

Step 1.2

Apply the distributive property.

$x \cdot x + x (3 i) - 4 (x + 3 i)$

Step 1.3

Apply the distributive property.

$x \cdot x + x (3 i) - 4 x - 4 (3 i)$

$x \cdot x + x (3 i) - 4 x - 4 (3 i)$

Step 2

Simplify each term.

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Step 2.1

Multiply $x$ by $x$ .

$x^{2} + x (3 i) - 4 x - 4 (3 i)$

Step 2.2

Move $3$ to the left of $x$ .

$x^{2} + 3 \cdot x i - 4 x - 4 (3 i)$

Step 2.3

Multiply $3$ by $- 4$ .

$x^{2} + 3 x i - 4 x - 12 i$

$x^{2} + 3 x i - 4 x - 12 i$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$