Simplify (12p-1)/(3p^2)-(1-3p)/(3p^2)

$\frac{12 p - 1}{3 p^{2}} - \frac{1 - 3 p}{3 p^{2}}$

Step 1

Combine the numerators over the common denominator.

$\frac{12 p - 1 - (1 - 3 p)}{3 p^{2}}$

Step 2

Simplify each term.

Apply the distributive property.

$\frac{12 p - 1 - 1 \cdot 1 - (- 3 p)}{3 p^{2}}$

Multiply $- 1$ by $1$ .

$\frac{12 p - 1 - 1 - (- 3 p)}{3 p^{2}}$

Multiply $- 3$ by $- 1$ .

$\frac{12 p - 1 - 1 + 3 p}{3 p^{2}}$

Step 3

Simplify by adding terms.

Add $12 p$ and $3 p$ .

$\frac{15 p - 1 - 1}{3 p^{2}}$

Subtract $1$ from $- 1$ .

$\frac{15 p - 2}{3 p^{2}}$