Simplify (a+4)(a+3)

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

Step 1

Expand $(a + 4) (a + 3)$ using the FOIL Method.

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

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

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

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

Multiply $4$ by $3$ .

$a^{2} + 3 a + 4 a + 12$

$a^{2} + 3 a + 4 a + 12$

Add $3 a$ and $4 a$ .

$a^{2} + 7 a + 12$

$a^{2} + 7 a + 12$

Related Questions