Basic Math Examples

${(a + 3)}^{2} - 5 (a + 3)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite ${(a + 3)}^{2}$ as $(a + 3) (a + 3)$ .

$(a + 3) (a + 3) - 5 (a + 3)$

Step 1.2

Expand $(a + 3) (a + 3)$ using the FOIL Method.

Tap for more steps...

Step 1.2.1

Apply the distributive property.

$a (a + 3) + 3 (a + 3) - 5 (a + 3)$

Step 1.2.2

Apply the distributive property.

$a \cdot a + a \cdot 3 + 3 (a + 3) - 5 (a + 3)$

Step 1.2.3

Apply the distributive property.

$a \cdot a + a \cdot 3 + 3 a + 3 \cdot 3 - 5 (a + 3)$

$a \cdot a + a \cdot 3 + 3 a + 3 \cdot 3 - 5 (a + 3)$

Step 1.3

Simplify and combine like terms.

Tap for more steps...

Step 1.3.1

Simplify each term.

Tap for more steps...

Step 1.3.1.1

Multiply $a$ by $a$ .

$a^{2} + a \cdot 3 + 3 a + 3 \cdot 3 - 5 (a + 3)$

Step 1.3.1.2

Move $3$ to the left of $a$ .

$a^{2} + 3 \cdot a + 3 a + 3 \cdot 3 - 5 (a + 3)$

Step 1.3.1.3

Multiply $3$ by $3$ .

$a^{2} + 3 a + 3 a + 9 - 5 (a + 3)$

$a^{2} + 3 a + 3 a + 9 - 5 (a + 3)$

Step 1.3.2

Add $3 a$ and $3 a$ .

$a^{2} + 6 a + 9 - 5 (a + 3)$

$a^{2} + 6 a + 9 - 5 (a + 3)$

Step 1.4

Apply the distributive property.

$a^{2} + 6 a + 9 - 5 a - 5 \cdot 3$

Step 1.5

Multiply $- 5$ by $3$ .

$a^{2} + 6 a + 9 - 5 a - 15$

$a^{2} + 6 a + 9 - 5 a - 15$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $5 a$ from $6 a$ .

$a^{2} + a + 9 - 15$

Step 2.2

Subtract $15$ from $9$ .

$a^{2} + a - 6$

$a^{2} + a - 6$

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