Finite Math Examples

$(x - \frac{221}{46}) (x - \frac{221}{46})$

Step 1

Expand $(x - \frac{221}{46}) (x - \frac{221}{46})$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x - \frac{221}{46}) - \frac{221}{46} (x - \frac{221}{46})$

Step 1.2

Apply the distributive property.

$x \cdot x + x (- \frac{221}{46}) - \frac{221}{46} (x - \frac{221}{46})$

Step 1.3

Apply the distributive property.

$x \cdot x + x (- \frac{221}{46}) - \frac{221}{46} x - \frac{221}{46} (- \frac{221}{46})$

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 $x$ .

$x^{2} + x (- \frac{221}{46}) - \frac{221}{46} x - \frac{221}{46} (- \frac{221}{46})$

Step 2.1.2

Combine $x$ and $\frac{221}{46}$ .

$x^{2} - \frac{x \cdot 221}{46} - \frac{221}{46} x - \frac{221}{46} (- \frac{221}{46})$

Step 2.1.3

Move $221$ to the left of $x$ .

$x^{2} - \frac{221 \cdot x}{46} - \frac{221}{46} x - \frac{221}{46} (- \frac{221}{46})$

Step 2.1.4

Combine $x$ and $\frac{221}{46}$ .

$x^{2} - \frac{221 x}{46} - \frac{x \cdot 221}{46} - \frac{221}{46} (- \frac{221}{46})$

Step 2.1.5

Move $221$ to the left of $x$ .

$x^{2} - \frac{221 x}{46} - \frac{221 \cdot x}{46} - \frac{221}{46} (- \frac{221}{46})$

Step 2.1.6

Multiply $- \frac{221}{46} (- \frac{221}{46})$ .

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Step 2.1.6.1

Multiply $- 1$ by $- 1$ .

$x^{2} - \frac{221 x}{46} - \frac{221 x}{46} + 1 (\frac{221}{46}) \frac{221}{46}$

Step 2.1.6.2

Multiply $\frac{221}{46}$ by $1$ .

$x^{2} - \frac{221 x}{46} - \frac{221 x}{46} + \frac{221}{46} \cdot \frac{221}{46}$

Step 2.1.6.3

Multiply $\frac{221}{46}$ by $\frac{221}{46}$ .

$x^{2} - \frac{221 x}{46} - \frac{221 x}{46} + \frac{221 \cdot 221}{46 \cdot 46}$

Step 2.1.6.4

Multiply $221$ by $221$ .

$x^{2} - \frac{221 x}{46} - \frac{221 x}{46} + \frac{48841}{46 \cdot 46}$

Step 2.1.6.5

Multiply $46$ by $46$ .

$x^{2} - \frac{221 x}{46} - \frac{221 x}{46} + \frac{48841}{2116}$

Step 2.2

Subtract $\frac{221 x}{46}$ from $- \frac{221 x}{46}$ .

$x^{2} - 2 \frac{221 x}{46} + \frac{48841}{2116}$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $- 2$ .

$x^{2} + 2 (- 1) \frac{221 x}{46} + \frac{48841}{2116}$

Step 3.1.2

Factor $2$ out of $46$ .

$x^{2} + 2 \cdot - 1 \frac{221 x}{2 \cdot 23} + \frac{48841}{2116}$

Step 3.1.3

Cancel the common factor.

$x^{2} + 2 \cdot - 1 \frac{221 x}{2 \cdot 23} + \frac{48841}{2116}$

Step 3.1.4

Rewrite the expression.

$x^{2} - 1 \frac{221 x}{23} + \frac{48841}{2116}$

Step 3.2

Rewrite $- 1 \frac{221 x}{23}$ as $- \frac{221 x}{23}$ .

$x^{2} - \frac{221 x}{23} + \frac{48841}{2116}$