Calculus Examples

$(x + 8) (\frac{36}{x} + 8)$

Step 1

Expand $(x + 8) (\frac{36}{x} + 8)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$x (\frac{36}{x} + 8) + 8 (\frac{36}{x} + 8)$

Step 1.2

Apply the distributive property.

$x \frac{36}{x} + x \cdot 8 + 8 (\frac{36}{x} + 8)$

Step 1.3

Apply the distributive property.

$x \frac{36}{x} + x \cdot 8 + 8 \frac{36}{x} + 8 \cdot 8$

Step 2

Simplify and combine like terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $x$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor.

$x \frac{36}{x} + x \cdot 8 + 8 \frac{36}{x} + 8 \cdot 8$

Step 2.1.1.2

Rewrite the expression.

$36 + x \cdot 8 + 8 \frac{36}{x} + 8 \cdot 8$

Step 2.1.2

Move $8$ to the left of $x$ .

$36 + 8 \cdot x + 8 \frac{36}{x} + 8 \cdot 8$

Step 2.1.3

Multiply $8 \frac{36}{x}$ .

Tap for more steps...

Step 2.1.3.1

Combine $8$ and $\frac{36}{x}$ .

$36 + 8 x + \frac{8 \cdot 36}{x} + 8 \cdot 8$

Step 2.1.3.2

Multiply $8$ by $36$ .

$36 + 8 x + \frac{288}{x} + 8 \cdot 8$

Step 2.1.4

Multiply $8$ by $8$ .

$36 + 8 x + \frac{288}{x} + 64$

Step 2.2

Add $36$ and $64$ .

$8 x + \frac{288}{x} + 100$