Examples

f (x) = 4 x

$f (x) = 4 x$ ,

g (x) = 6 x + 2

$g (x) = 6 x + 2$

Step 1

Replace the function designators with the actual functions in

f (x) \cdot (g (x))

$f (x) \cdot (g (x))$ .

(4 x) \cdot (6 x + 2)

$(4 x) \cdot (6 x + 2)$

Step 2

Simplify.

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Step 2.1

Simplify by multiplying through.

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Step 2.1.1

Apply the distributive property.

4 x (6 x) + 4 x \cdot 2

$4 x (6 x) + 4 x \cdot 2$

Step 2.1.2

Simplify the expression.

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Step 2.1.2.1

Rewrite using the commutative property of multiplication.

4 \cdot 6 x \cdot x + 4 x \cdot 2

$4 \cdot 6 x \cdot x + 4 x \cdot 2$

Step 2.1.2.2

Multiply

2

$2$ by

4

$4$ .

4 \cdot 6 x \cdot x + 8 x

$4 \cdot 6 x \cdot x + 8 x$

4 \cdot 6 x \cdot x + 8 x

$4 \cdot 6 x \cdot x + 8 x$

4 \cdot 6 x \cdot x + 8 x

$4 \cdot 6 x \cdot x + 8 x$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

x

$x$ by

x

$x$ by adding the exponents.

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Step 2.2.1.1

Move

x

$x$ .

4 \cdot 6 (x \cdot x) + 8 x

$4 \cdot 6 (x \cdot x) + 8 x$

Step 2.2.1.2

Multiply

x

$x$ by

x

$x$ .

4 \cdot 6 x^{2} + 8 x

$4 \cdot 6 x^{2} + 8 x$

4 \cdot 6 x^{2} + 8 x

$4 \cdot 6 x^{2} + 8 x$

Step 2.2.2

Multiply

4

$4$ by

6

$6$ .

24 x^{2} + 8 x

$24 x^{2} + 8 x$

24 x^{2} + 8 x

$24 x^{2} + 8 x$

24 x^{2} + 8 x

$24 x^{2} + 8 x$

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