Calculus Examples

$(x - 4) (\sqrt{x} + 2)$

Step 1

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

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Step 1.1

Apply the distributive property.

$x (\sqrt{x} + 2) - 4 (\sqrt{x} + 2)$

Step 1.2

Apply the distributive property.

$x \sqrt{x} + x \cdot 2 - 4 (\sqrt{x} + 2)$

Step 1.3

Apply the distributive property.

$x \sqrt{x} + x \cdot 2 - 4 \sqrt{x} - 4 \cdot 2$

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Move $2$ to the left of $x$ .

$x \sqrt{x} + 2 \cdot x - 4 \sqrt{x} - 4 \cdot 2$

Step 2.1.2

Multiply $- 4$ by $2$ .

$x \sqrt{x} + 2 x - 4 \sqrt{x} - 8$

Step 2.2

Reorder $x \sqrt{x}$ and $2 x$ .

$2 x + x \sqrt{x} - 4 \sqrt{x} - 8$