Algebra Examples

$\frac{15 y (y + 1)}{45 y^{2} (y + 1)}$

Step 1

Cancel the common factor of $15$ and $45$ .

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Step 1.1

Factor $15$ out of $15 y (y + 1)$ .

$\frac{15 (y (y + 1))}{45 y^{2} (y + 1)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $15$ out of $45 y^{2} (y + 1)$ .

$\frac{15 (y (y + 1))}{15 (3 y^{2} (y + 1))}$

Step 1.2.2

Cancel the common factor.

$\frac{15 (y (y + 1))}{15 (3 y^{2} (y + 1))}$

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

Cancel the common factors.

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Step 2.1

Factor $y$ out of $3 y^{2} (y + 1)$ .

$\frac{y (y + 1)}{y (3 y (y + 1))}$

Step 2.2

Cancel the common factor.

$\frac{y (y + 1)}{y (3 y (y + 1))}$

Step 2.3

Rewrite the expression.

$\frac{y + 1}{3 y (y + 1)}$

$\frac{y + 1}{3 y (y + 1)}$

Step 3

Cancel the common factor of $y + 1$ .

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Step 3.1

Cancel the common factor.

$\frac{y + 1}{3 y (y + 1)}$

Step 3.2

Rewrite the expression.

$\frac{1}{3 y}$

$\frac{1}{3 y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$