Finite Math Examples

$(15 x - 18) (2 x + 11)$

Step 1

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

Step 2.1.2

Multiply $15$ by $- 1$ .

Step 2.1.3

Multiply $- 1$ by $- 18$ .

Step 2.1.4

Expand $(- 15 x + 18) (2 x + 11)$ using the FOIL Method.

Tap for more steps...

Step 2.1.4.1

Apply the distributive property.

Step 2.1.4.2

Apply the distributive property.

Step 2.1.4.3

Apply the distributive property.

$360 - 15 x (2 x) - 15 x \cdot 11 + 18 (2 x) + 18 \cdot 11 °$

Step 2.1.5

Simplify and combine like terms.

Tap for more steps...

Step 2.1.5.1

Simplify each term.

Tap for more steps...

Step 2.1.5.1.1

Rewrite using the commutative property of multiplication.

$360 - 15 \cdot (2 x \cdot x) - 15 x \cdot 11 + 18 (2 x) + 18 \cdot 11 °$

Step 2.1.5.1.2

Multiply $x$ by $x$ by adding the exponents.

Tap for more steps...

Step 2.1.5.1.2.1

Move $x$ .

$360 - 15 \cdot (2 (x \cdot x)) - 15 x \cdot 11 + 18 (2 x) + 18 \cdot 11 °$

Step 2.1.5.1.2.2

Multiply $x$ by $x$ .

$360 - 15 \cdot (2 x^{2}) - 15 x \cdot 11 + 18 (2 x) + 18 \cdot 11 °$

Step 2.1.5.1.3

Multiply $- 15$ by $2$ .

$360 - 30 x^{2} - 15 x \cdot 11 + 18 (2 x) + 18 \cdot 11 °$

Step 2.1.5.1.4

Multiply $11$ by $- 15$ .

$360 - 30 x^{2} - 165 x + 18 (2 x) + 18 \cdot 11 °$

Step 2.1.5.1.5

Multiply $2$ by $18$ .

$360 - 30 x^{2} - 165 x + 36 x + 18 \cdot 11 °$

Step 2.1.5.1.6

Multiply $18$ by $11$ .

$360 - 30 x^{2} - 165 x + 36 x + 198 °$

Step 2.1.5.2

Add $- 165 x$ and $36 x$ .

$360 - 30 x^{2} - 129 x + 198 °$

Step 2.2

Add $360$ and $198$ .

$- 30 x^{2} - 129 x + 558 °$