Find the Product 3a(8a-6b)

$3 a (8 a - 6 b)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$3 a (8 a) + 3 a (- 6 b)$

Reorder.

Rewrite using the commutative property of multiplication.

$3 \cdot 8 a \cdot a + 3 a (- 6 b)$

Rewrite using the commutative property of multiplication.

$3 \cdot 8 a \cdot a + 3 \cdot - 6 a b$

Step 2

Simplify each term.

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

Move $a$ .

$3 \cdot 8 (a \cdot a) + 3 \cdot - 6 a b$

Multiply $a$ by $a$ .

$3 \cdot 8 a^{2} + 3 \cdot - 6 a b$

Multiply $3$ by $8$ .

$24 a^{2} + 3 \cdot - 6 a b$

Multiply $3$ by $- 6$ .

$24 a^{2} - 18 a b$