Calculus Examples

$(\frac{72}{x} + 2) (x + 4)$

Step 1

Expand $(\frac{72}{x} + 2) (x + 4)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$\frac{72}{x} (x + 4) + 2 (x + 4)$

Step 1.2

Apply the distributive property.

$\frac{72}{x} x + \frac{72}{x} \cdot 4 + 2 (x + 4)$

Step 1.3

Apply the distributive property.

$\frac{72}{x} x + \frac{72}{x} \cdot 4 + 2 x + 2 \cdot 4$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Cancel the common factor of $x$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{72}{x} x + \frac{72}{x} \cdot 4 + 2 x + 2 \cdot 4$

Step 2.1.1.2

Rewrite the expression.

$72 + \frac{72}{x} \cdot 4 + 2 x + 2 \cdot 4$

Step 2.1.2

Multiply $\frac{72}{x} \cdot 4$ .

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Step 2.1.2.1

Combine $\frac{72}{x}$ and $4$ .

$72 + \frac{72 \cdot 4}{x} + 2 x + 2 \cdot 4$

Step 2.1.2.2

Multiply $72$ by $4$ .

$72 + \frac{288}{x} + 2 x + 2 \cdot 4$

Step 2.1.3

Multiply $2$ by $4$ .

$72 + \frac{288}{x} + 2 x + 8$

Step 2.2

Add $72$ and $8$ .

$\frac{288}{x} + 2 x + 80$

Step 3

Reorder $\frac{288}{x}$ and $2 x$ .

$2 x + \frac{288}{x} + 80$