Simplify (2x+4)(3x+8)

$(2 x + 4) (3 x + 8)$

Step 1

Expand $(2 x + 4) (3 x + 8)$ using the FOIL Method.

Apply the distributive property.

$2 x (3 x + 8) + 4 (3 x + 8)$

Apply the distributive property.

$2 x (3 x) + 2 x \cdot 8 + 4 (3 x + 8)$

Apply the distributive property.

$2 x (3 x) + 2 x \cdot 8 + 4 (3 x) + 4 \cdot 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x + 2 x \cdot 8 + 4 (3 x) + 4 \cdot 8$

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

Move $x$ .

$2 \cdot 3 (x \cdot x) + 2 x \cdot 8 + 4 (3 x) + 4 \cdot 8$

Multiply $x$ by $x$ .

$2 \cdot 3 x^{2} + 2 x \cdot 8 + 4 (3 x) + 4 \cdot 8$

Multiply $2$ by $3$ .

$6 x^{2} + 2 x \cdot 8 + 4 (3 x) + 4 \cdot 8$

Multiply $8$ by $2$ .

$6 x^{2} + 16 x + 4 (3 x) + 4 \cdot 8$

Multiply $3$ by $4$ .

$6 x^{2} + 16 x + 12 x + 4 \cdot 8$

Multiply $4$ by $8$ .

$6 x^{2} + 16 x + 12 x + 32$

Add $16 x$ and $12 x$ .

$6 x^{2} + 28 x + 32$