Simplify (4x+1)(6x+3)

$(4 x + 1) (6 x + 3)$

Step 1

Expand $(4 x + 1) (6 x + 3)$ using the FOIL Method.

Apply the distributive property.

$4 x (6 x + 3) + 1 (6 x + 3)$

Apply the distributive property.

$4 x (6 x) + 4 x \cdot 3 + 1 (6 x + 3)$

Apply the distributive property.

$4 x (6 x) + 4 x \cdot 3 + 1 (6 x) + 1 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 6 x \cdot x + 4 x \cdot 3 + 1 (6 x) + 1 \cdot 3$

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

Move $x$ .

$4 \cdot 6 (x \cdot x) + 4 x \cdot 3 + 1 (6 x) + 1 \cdot 3$

Multiply $x$ by $x$ .

$4 \cdot 6 x^{2} + 4 x \cdot 3 + 1 (6 x) + 1 \cdot 3$

Multiply $4$ by $6$ .

$24 x^{2} + 4 x \cdot 3 + 1 (6 x) + 1 \cdot 3$

Multiply $3$ by $4$ .

$24 x^{2} + 12 x + 1 (6 x) + 1 \cdot 3$

Multiply $6 x$ by $1$ .

$24 x^{2} + 12 x + 6 x + 1 \cdot 3$

Multiply $3$ by $1$ .

$24 x^{2} + 12 x + 6 x + 3$

Add $12 x$ and $6 x$ .

$24 x^{2} + 18 x + 3$