Finite Math Examples

$x = u (\frac{u \cdot (1 - u)}{s} - 1)$

Step 1

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{s}{s}$ .

$x = u (\frac{u (1 - u)}{s} - 1 \cdot \frac{s}{s})$

Step 2

Simplify terms.

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Step 2.1

Combine $- 1$ and $\frac{s}{s}$ .

$x = u (\frac{u (1 - u)}{s} + \frac{- s}{s})$

Step 2.2

Combine the numerators over the common denominator.

$x = u \frac{u (1 - u) - s}{s}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$x = u \frac{u \cdot 1 + u (- u) - s}{s}$

Step 3.2

Multiply $u$ by $1$ .

$x = u \frac{u + u (- u) - s}{s}$

Step 3.3

Rewrite using the commutative property of multiplication.

$x = u \frac{u - u \cdot u - s}{s}$

Step 3.4

Multiply $u$ by $u$ by adding the exponents.

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Step 3.4.1

Move $u$ .

$x = u \frac{u - (u \cdot u) - s}{s}$

Step 3.4.2

Multiply $u$ by $u$ .

$x = u \frac{u - u^{2} - s}{s}$

Step 4

Combine $u$ and $\frac{u - u^{2} - s}{s}$ .

$x = \frac{u (u - u^{2} - s)}{s}$