Pre-Algebra Examples

$\frac{2 b - 2 a}{4 a^{2} + b}$

Step 1

Factor $2$ out of $2 b - 2 a$ .

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Step 1.1

Factor $2$ out of $2 b$ .

$\frac{2 (b) - 2 a}{4 a^{2} + b}$

Step 1.2

Factor $2$ out of $- 2 a$ .

$\frac{2 (b) + 2 (- a)}{4 a^{2} + b}$

Step 1.3

Factor $2$ out of $2 (b) + 2 (- a)$ .

$\frac{2 (b - a)}{4 a^{2} + b}$

Step 2

Apply the distributive property.

$\frac{2 b + 2 (- a)}{4 a^{2} + b}$

Step 3

Multiply $- 1$ by $2$ .

$\frac{2 b - 2 a}{4 a^{2} + b}$

Step 4

Split the fraction $\frac{2 b - 2 a}{4 a^{2} + b}$ into two fractions.

$\frac{2 b}{4 a^{2} + b} + \frac{- 2 a}{4 a^{2} + b}$

Step 5

Move the negative in front of the fraction.

$\frac{2 b}{4 a^{2} + b} - \frac{2 a}{4 a^{2} + b}$