Simplify a(4a+3)

$a (4 a + 3)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Reorder.

Rewrite using the commutative property of multiplication.

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

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

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

Step 2

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

Move $a$ .

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

Multiply $a$ by $a$ .

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

$4 a^{2} + 3 a$