Basic Math Examples

$\frac{a - 1}{a b c^{3}} - \frac{3 - b}{a b c^{3}}$

Step 1

Combine the numerators over the common denominator.

$\frac{a - 1 - (3 - b)}{c^{3} a b}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{a - 1 - 1 \cdot 3 - - b}{c^{3} a b}$

Step 2.2

Multiply $- 1$ by $3$ .

$\frac{a - 1 - 3 - - b}{c^{3} a b}$

Step 2.3

Multiply $- - b$ .

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Step 2.3.1

Multiply $- 1$ by $- 1$ .

$\frac{a - 1 - 3 + 1 b}{c^{3} a b}$

Step 2.3.2

Multiply $b$ by $1$ .

$\frac{a - 1 - 3 + b}{c^{3} a b}$

Step 3

Subtract $3$ from $- 1$ .

$\frac{a - 4 + b}{c^{3} a b}$