Algebra Examples

$3 (a + 1) + (a + 4) (2 + a)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$3 a + 3 \cdot 1 + (a + 4) (2 + a)$

Step 1.2

Multiply $3$ by $1$ .

$3 a + 3 + (a + 4) (2 + a)$

Step 1.3

Expand $(a + 4) (2 + a)$ using the FOIL Method.

Tap for more steps...

Step 1.3.1

Apply the distributive property.

$3 a + 3 + a (2 + a) + 4 (2 + a)$

Step 1.3.2

Apply the distributive property.

$3 a + 3 + a \cdot 2 + a \cdot a + 4 (2 + a)$

Step 1.3.3

Apply the distributive property.

$3 a + 3 + a \cdot 2 + a \cdot a + 4 \cdot 2 + 4 a$

$3 a + 3 + a \cdot 2 + a \cdot a + 4 \cdot 2 + 4 a$

Step 1.4

Simplify and combine like terms.

Tap for more steps...

Step 1.4.1

Simplify each term.

Tap for more steps...

Step 1.4.1.1

Move $2$ to the left of $a$ .

$3 a + 3 + 2 \cdot a + a \cdot a + 4 \cdot 2 + 4 a$

Step 1.4.1.2

Multiply $a$ by $a$ .

$3 a + 3 + 2 a + a^{2} + 4 \cdot 2 + 4 a$

Step 1.4.1.3

Multiply $4$ by $2$ .

$3 a + 3 + 2 a + a^{2} + 8 + 4 a$

$3 a + 3 + 2 a + a^{2} + 8 + 4 a$

Step 1.4.2

Add $2 a$ and $4 a$ .

$3 a + 3 + 6 a + a^{2} + 8$

$3 a + 3 + 6 a + a^{2} + 8$

$3 a + 3 + 6 a + a^{2} + 8$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Add $3 a$ and $6 a$ .

$9 a + 3 + a^{2} + 8$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Add $3$ and $8$ .

$9 a + a^{2} + 11$

Step 2.2.2

Reorder $9 a$ and $a^{2}$ .

$a^{2} + 9 a + 11$

$a^{2} + 9 a + 11$

$a^{2} + 9 a + 11$

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