Simplify (3x+8)(2x+6)

$(3 x + 8) (2 x + 6)$

Step 1

Expand $(3 x + 8) (2 x + 6)$ using the FOIL Method.

Apply the distributive property.

$3 x (2 x + 6) + 8 (2 x + 6)$

Apply the distributive property.

$3 x (2 x) + 3 x \cdot 6 + 8 (2 x + 6)$

Apply the distributive property.

$3 x (2 x) + 3 x \cdot 6 + 8 (2 x) + 8 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 x \cdot 6 + 8 (2 x) + 8 \cdot 6$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$3 \cdot 2 (x \cdot x) + 3 x \cdot 6 + 8 (2 x) + 8 \cdot 6$

Multiply $x$ by $x$ .

$3 \cdot 2 x^{2} + 3 x \cdot 6 + 8 (2 x) + 8 \cdot 6$

Multiply $3$ by $2$ .

$6 x^{2} + 3 x \cdot 6 + 8 (2 x) + 8 \cdot 6$

Multiply $6$ by $3$ .

$6 x^{2} + 18 x + 8 (2 x) + 8 \cdot 6$

Multiply $2$ by $8$ .

$6 x^{2} + 18 x + 16 x + 8 \cdot 6$

Multiply $8$ by $6$ .

$6 x^{2} + 18 x + 16 x + 48$

Add $18 x$ and $16 x$ .

$6 x^{2} + 34 x + 48$