Find the Product (x-6)(3x-4y)

$(x - 6) (3 x - 4 y)$

Expand $(x - 6) (3 x - 4 y)$ using the FOIL Method.

Apply the distributive property.

$x (3 x - 4 y) - 6 (3 x - 4 y)$

Apply the distributive property.

$x (3 x) + x (- 4 y) - 6 (3 x - 4 y)$

Apply the distributive property.

$x (3 x) + x (- 4 y) - 6 (3 x) - 6 (- 4 y)$

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 x \cdot x + x (- 4 y) - 6 (3 x) - 6 (- 4 y)$

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

Move $x$ .

$3 (x \cdot x) + x (- 4 y) - 6 (3 x) - 6 (- 4 y)$

Multiply $x$ by $x$ .

$3 x^{2} + x (- 4 y) - 6 (3 x) - 6 (- 4 y)$

Rewrite using the commutative property of multiplication.

$3 x^{2} - 4 x y - 6 (3 x) - 6 (- 4 y)$

Multiply $3$ by $- 6$ .

$3 x^{2} - 4 x y - 18 x - 6 (- 4 y)$

Multiply $- 4$ by $- 6$ .

$3 x^{2} - 4 x y - 18 x + 24 y$