Algebra Examples

$(4 x - 3) (x + 5)$

Step 1

Expand $(4 x - 3) (x + 5)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$4 x (x + 5) - 3 (x + 5)$

Step 1.2

Apply the distributive property.

$4 x \cdot x + 4 x \cdot 5 - 3 (x + 5)$

Step 1.3

Apply the distributive property.

$4 x \cdot x + 4 x \cdot 5 - 3 x - 3 \cdot 5$

$4 x \cdot x + 4 x \cdot 5 - 3 x - 3 \cdot 5$

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

Tap for more steps...

Step 2.1.1.1

Move $x$ .

$4 (x \cdot x) + 4 x \cdot 5 - 3 x - 3 \cdot 5$

Step 2.1.1.2

Multiply $x$ by $x$ .

$4 x^{2} + 4 x \cdot 5 - 3 x - 3 \cdot 5$

$4 x^{2} + 4 x \cdot 5 - 3 x - 3 \cdot 5$

Step 2.1.2

Multiply $5$ by $4$ .

$4 x^{2} + 20 x - 3 x - 3 \cdot 5$

Step 2.1.3

Multiply $- 3$ by $5$ .

$4 x^{2} + 20 x - 3 x - 15$

$4 x^{2} + 20 x - 3 x - 15$

Step 2.2

Subtract $3 x$ from $20 x$ .

$4 x^{2} + 17 x - 15$

$4 x^{2} + 17 x - 15$

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