Find the Product f(x)=4x-5 g(x)=3x

$f (x) = 4 x - 5$ $g (x) = 3 x$

Step 1

Replace the function designators with the actual functions in $f (x) \cdot (g (x))$ .

$(4 x - 5) \cdot (3 x)$

Step 2

Simplify.

Simplify by multiplying through.

Apply the distributive property.

$4 x (3 x) - 5 (3 x)$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$4 \cdot 3 x \cdot x - 5 (3 x)$

Multiply $3$ by $- 5$ .

$4 \cdot 3 x \cdot x - 15 x$

Simplify each term.

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

Move $x$ .

$4 \cdot 3 (x \cdot x) - 15 x$

Multiply $x$ by $x$ .

$4 \cdot 3 x^{2} - 15 x$

Multiply $4$ by $3$ .

$12 x^{2} - 15 x$