Algebra Examples

(2 x - 5) (x + 4)

$(2 x - 5) (x + 4)$

Step 1

Expand

(2 x - 5) (x + 4)

$(2 x - 5) (x + 4)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

2 x (x + 4) - 5 (x + 4)

$2 x (x + 4) - 5 (x + 4)$

Step 1.2

Apply the distributive property.

2 x \cdot x + 2 x \cdot 4 - 5 (x + 4)

$2 x \cdot x + 2 x \cdot 4 - 5 (x + 4)$

Step 1.3

Apply the distributive property.

2 x \cdot x + 2 x \cdot 4 - 5 x - 5 \cdot 4

$2 x \cdot x + 2 x \cdot 4 - 5 x - 5 \cdot 4$

2 x \cdot x + 2 x \cdot 4 - 5 x - 5 \cdot 4

$2 x \cdot x + 2 x \cdot 4 - 5 x - 5 \cdot 4$

Step 2

Simplify and combine like terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply

x

$x$ by

x

$x$ by adding the exponents.

Tap for more steps...

Step 2.1.1.1

Move

x

$x$ .

2 (x \cdot x) + 2 x \cdot 4 - 5 x - 5 \cdot 4

$2 (x \cdot x) + 2 x \cdot 4 - 5 x - 5 \cdot 4$

Step 2.1.1.2

Multiply

x

$x$ by

x

$x$ .

2 x^{2} + 2 x \cdot 4 - 5 x - 5 \cdot 4

$2 x^{2} + 2 x \cdot 4 - 5 x - 5 \cdot 4$

2 x^{2} + 2 x \cdot 4 - 5 x - 5 \cdot 4

$2 x^{2} + 2 x \cdot 4 - 5 x - 5 \cdot 4$

Step 2.1.2

Multiply

4

$4$ by

2

$2$ .

2 x^{2} + 8 x - 5 x - 5 \cdot 4

$2 x^{2} + 8 x - 5 x - 5 \cdot 4$

Step 2.1.3

Multiply

- 5

$- 5$ by

4

$4$ .

2 x^{2} + 8 x - 5 x - 20

$2 x^{2} + 8 x - 5 x - 20$

2 x^{2} + 8 x - 5 x - 20

$2 x^{2} + 8 x - 5 x - 20$

Step 2.2

Subtract

5 x

$5 x$ from

8 x

$8 x$ .

2 x^{2} + 3 x - 20

$2 x^{2} + 3 x - 20$

2 x^{2} + 3 x - 20

$2 x^{2} + 3 x - 20$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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