Chemistry Examples

$(x - 5) (x - 3 i)$

Step 1

Expand $(x - 5) (x - 3 i)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$x (x - 3 i) - 5 (x - 3 i)$

Step 1.2

Apply the distributive property.

$x \cdot x + x (- 3 i) - 5 (x - 3 i)$

Step 1.3

Apply the distributive property.

$x \cdot x + x (- 3 i) - 5 x - 5 (- 3 i)$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply $x$ by $x$ .

$x^{2} + x (- 3 i) - 5 x - 5 (- 3 i)$

Step 2.1.2

Multiply $- 3$ by $- 5$ .

$x^{2} + x (- 3 i) - 5 x + 15 i$

Step 2.2

Reorder factors in $x^{2} + x (- 3 i) - 5 x + 15 i$ .

$x^{2} - 3 x i - 5 x + 15 i$