Precalculus Examples

$\frac{2 x + 3}{3 x - 2} + \frac{4 x}{3 x - 2}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 x + 3 + 4 x}{3 x - 2}$

Step 2

Add $2 x$ and $4 x$ .

$\frac{6 x + 3}{3 x - 2}$

Step 3

Factor $3$ out of $6 x + 3$ .

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Step 3.1

Factor $3$ out of $6 x$ .

$\frac{3 (2 x) + 3}{3 x - 2}$

Step 3.2

Factor $3$ out of $3$ .

$\frac{3 (2 x) + 3 (1)}{3 x - 2}$

Step 3.3

Factor $3$ out of $3 (2 x) + 3 (1)$ .

$\frac{3 (2 x + 1)}{3 x - 2}$