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

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{6 y - 4 - (3 y) - 1 \cdot 1}{y^{2} - 5}$

Step 2.2

Multiply $3$ by $- 1$ .

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

Step 2.3

Multiply $- 1$ by $1$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $3 y$ from $6 y$ .

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

Step 3.2

Subtract $1$ from $- 4$ .

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