Basic Math Examples

$(2 a - 1) (a + 1)$

Step 1

Expand $(2 a - 1) (a + 1)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$2 a (a + 1) - 1 (a + 1)$

Step 1.2

Apply the distributive property.

$2 a \cdot a + 2 a \cdot 1 - 1 (a + 1)$

Step 1.3

Apply the distributive property.

$2 a \cdot a + 2 a \cdot 1 - 1 a - 1 \cdot 1$

$2 a \cdot a + 2 a \cdot 1 - 1 a - 1 \cdot 1$

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 $a$ by $a$ by adding the exponents.

Tap for more steps...

Step 2.1.1.1

Move $a$ .

$2 (a \cdot a) + 2 a \cdot 1 - 1 a - 1 \cdot 1$

Step 2.1.1.2

Multiply $a$ by $a$ .

$2 a^{2} + 2 a \cdot 1 - 1 a - 1 \cdot 1$

$2 a^{2} + 2 a \cdot 1 - 1 a - 1 \cdot 1$

Step 2.1.2

Multiply $2$ by $1$ .

$2 a^{2} + 2 a - 1 a - 1 \cdot 1$

Step 2.1.3

Rewrite $- 1 a$ as $- a$ .

$2 a^{2} + 2 a - a - 1 \cdot 1$

Step 2.1.4

Multiply $- 1$ by $1$ .

$2 a^{2} + 2 a - a - 1$

$2 a^{2} + 2 a - a - 1$

Step 2.2

Subtract $a$ from $2 a$ .

$2 a^{2} + a - 1$

$2 a^{2} + a - 1$

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