Multiply (8x+3)(4x+7)

$(8 x + 3) (4 x + 7)$

Step 1

Expand $(8 x + 3) (4 x + 7)$ using the FOIL Method.

Apply the distributive property.

$8 x (4 x + 7) + 3 (4 x + 7)$

Apply the distributive property.

$8 x (4 x) + 8 x \cdot 7 + 3 (4 x + 7)$

Apply the distributive property.

$8 x (4 x) + 8 x \cdot 7 + 3 (4 x) + 3 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$8 \cdot 4 x \cdot x + 8 x \cdot 7 + 3 (4 x) + 3 \cdot 7$

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

Move $x$ .

$8 \cdot 4 (x \cdot x) + 8 x \cdot 7 + 3 (4 x) + 3 \cdot 7$

Multiply $x$ by $x$ .

$8 \cdot 4 x^{2} + 8 x \cdot 7 + 3 (4 x) + 3 \cdot 7$

Multiply $8$ by $4$ .

$32 x^{2} + 8 x \cdot 7 + 3 (4 x) + 3 \cdot 7$

Multiply $7$ by $8$ .

$32 x^{2} + 56 x + 3 (4 x) + 3 \cdot 7$

Multiply $4$ by $3$ .

$32 x^{2} + 56 x + 12 x + 3 \cdot 7$

Multiply $3$ by $7$ .

$32 x^{2} + 56 x + 12 x + 21$

Add $56 x$ and $12 x$ .

$32 x^{2} + 68 x + 21$