Pre-Algebra Examples

$\frac{6 y - 4}{y^{2} - 5} + \frac{3 y + 1}{y^{2} - 5}$

Step 1

Combine the numerators over the common denominator.

$\frac{6 y - 4 + 3 y + 1}{y^{2} - 5}$

Step 2

Add $6 y$ and $3 y$ .

$\frac{9 y - 4 + 1}{y^{2} - 5}$

Step 3

Add $- 4$ and $1$ .

$\frac{9 y - 3}{y^{2} - 5}$

Step 4

Factor $3$ out of $9 y - 3$ .

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Step 4.1

Factor $3$ out of $9 y$ .

$\frac{3 (3 y) - 3}{y^{2} - 5}$

Step 4.2

Factor $3$ out of $- 3$ .

$\frac{3 (3 y) + 3 (- 1)}{y^{2} - 5}$

Step 4.3

Factor $3$ out of $3 (3 y) + 3 (- 1)$ .

$\frac{3 (3 y - 1)}{y^{2} - 5}$