Basic Math Examples

$(x - \frac{1}{5}) (x + \frac{4}{5})$

Step 1

Expand $(x - \frac{1}{5}) (x + \frac{4}{5})$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x + \frac{4}{5}) - \frac{1}{5} (x + \frac{4}{5})$

Step 1.2

Apply the distributive property.

$x \cdot x + x \frac{4}{5} - \frac{1}{5} (x + \frac{4}{5})$

Step 1.3

Apply the distributive property.

$x \cdot x + x \frac{4}{5} - \frac{1}{5} x - \frac{1}{5} \cdot \frac{4}{5}$

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

Multiply $x$ by $x$ .

$x^{2} + x \frac{4}{5} - \frac{1}{5} x - \frac{1}{5} \cdot \frac{4}{5}$

Step 2.1.2

Combine $x$ and $\frac{4}{5}$ .

$x^{2} + \frac{x \cdot 4}{5} - \frac{1}{5} x - \frac{1}{5} \cdot \frac{4}{5}$

Step 2.1.3

Move $4$ to the left of $x$ .

$x^{2} + \frac{4 \cdot x}{5} - \frac{1}{5} x - \frac{1}{5} \cdot \frac{4}{5}$

Step 2.1.4

Combine $x$ and $\frac{1}{5}$ .

$x^{2} + \frac{4 x}{5} - \frac{x}{5} - \frac{1}{5} \cdot \frac{4}{5}$

Step 2.1.5

Multiply $- \frac{1}{5} \cdot \frac{4}{5}$ .

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Step 2.1.5.1

Multiply $\frac{4}{5}$ by $\frac{1}{5}$ .

$x^{2} + \frac{4 x}{5} - \frac{x}{5} - \frac{4}{5 \cdot 5}$

Step 2.1.5.2

Multiply $5$ by $5$ .

$x^{2} + \frac{4 x}{5} - \frac{x}{5} - \frac{4}{25}$

Step 2.2

Combine the numerators over the common denominator.

$x^{2} + \frac{4 x - x}{5} - \frac{4}{25}$

Step 3

Subtract $x$ from $4 x$ .

$x^{2} + \frac{3 x}{5} - \frac{4}{25}$