Find the Product (3x-4)(4x+3)

$(3 x - 4) (4 x + 3)$

Step 1

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

Apply the distributive property.

$3 x (4 x + 3) - 4 (4 x + 3)$

Apply the distributive property.

$3 x (4 x) + 3 x \cdot 3 - 4 (4 x + 3)$

Apply the distributive property.

$3 x (4 x) + 3 x \cdot 3 - 4 (4 x) - 4 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 4 x \cdot x + 3 x \cdot 3 - 4 (4 x) - 4 \cdot 3$

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

Move $x$ .

$3 \cdot 4 (x \cdot x) + 3 x \cdot 3 - 4 (4 x) - 4 \cdot 3$

Multiply $x$ by $x$ .

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

Multiply $3$ by $4$ .

$12 x^{2} + 3 x \cdot 3 - 4 (4 x) - 4 \cdot 3$

Multiply $3$ by $3$ .

$12 x^{2} + 9 x - 4 (4 x) - 4 \cdot 3$

Multiply $4$ by $- 4$ .

$12 x^{2} + 9 x - 16 x - 4 \cdot 3$

Multiply $- 4$ by $3$ .

$12 x^{2} + 9 x - 16 x - 12$

Subtract $16 x$ from $9 x$ .

$12 x^{2} - 7 x - 12$