Algebra Examples

$\frac{6 y (y + 3 (y - 5))}{y (y - 5) (y - 1)}$

Step 1

Cancel the common factor of $y$ .

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Step 1.1

Cancel the common factor.

$\frac{6 y (y + 3 (y - 5))}{y (y - 5) (y - 1)}$

Step 1.2

Rewrite the expression.

$\frac{6 (y + 3 (y - 5))}{(y - 5) (y - 1)}$

Step 2

Simplify the numerator.

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Step 2.1

Apply the distributive property.

$\frac{6 (y + 3 y + 3 \cdot - 5)}{(y - 5) (y - 1)}$

Step 2.2

Multiply $3$ by $- 5$ .

$\frac{6 (y + 3 y - 15)}{(y - 5) (y - 1)}$

Step 2.3

Add $y$ and $3 y$ .

$\frac{6 (4 y - 15)}{(y - 5) (y - 1)}$