Basic Math Examples

$(x + \frac{6}{7}) (x - \frac{1}{7})$

Step 1

Expand $(x + \frac{6}{7}) (x - \frac{1}{7})$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x - \frac{1}{7}) + \frac{6}{7} (x - \frac{1}{7})$

Step 1.2

Apply the distributive property.

$x \cdot x + x (- \frac{1}{7}) + \frac{6}{7} (x - \frac{1}{7})$

Step 1.3

Apply the distributive property.

$x \cdot x + x (- \frac{1}{7}) + \frac{6}{7} x + \frac{6}{7} (- \frac{1}{7})$

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 $x$ .

$x^{2} + x (- \frac{1}{7}) + \frac{6}{7} x + \frac{6}{7} (- \frac{1}{7})$

Step 2.1.2

Combine $x$ and $\frac{1}{7}$ .

$x^{2} - \frac{x}{7} + \frac{6}{7} x + \frac{6}{7} (- \frac{1}{7})$

Step 2.1.3

Combine $\frac{6}{7}$ and $x$ .

$x^{2} - \frac{x}{7} + \frac{6 x}{7} + \frac{6}{7} (- \frac{1}{7})$

Step 2.1.4

Multiply $\frac{6}{7} (- \frac{1}{7})$ .

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Step 2.1.4.1

Multiply $\frac{6}{7}$ by $\frac{1}{7}$ .

$x^{2} - \frac{x}{7} + \frac{6 x}{7} - \frac{6}{7 \cdot 7}$

Step 2.1.4.2

Multiply $7$ by $7$ .

$x^{2} - \frac{x}{7} + \frac{6 x}{7} - \frac{6}{49}$

Step 2.2

Combine the numerators over the common denominator.

$x^{2} + \frac{- x + 6 x}{7} - \frac{6}{49}$

Step 3

Add $- x$ and $6 x$ .

$x^{2} + \frac{5 x}{7} - \frac{6}{49}$