Precalculus Examples

$\frac{j^{18} - j}{3 j - j^{12}}$

Step 1

Factor $j$ out of $j^{18} - j$ .

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Step 1.1

Factor $j$ out of $j^{18}$ .

$\frac{j \cdot j^{17} - j}{3 j - j^{12}}$

Step 1.2

Factor $j$ out of $- j$ .

$\frac{j \cdot j^{17} + j \cdot - 1}{3 j - j^{12}}$

Step 1.3

Factor $j$ out of $j \cdot j^{17} + j \cdot - 1$ .

$\frac{j (j^{17} - 1)}{3 j - j^{12}}$

Step 2

Factor $j$ out of $3 j - j^{12}$ .

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Step 2.1

Factor $j$ out of $3 j$ .

$\frac{j (j^{17} - 1)}{j \cdot 3 - j^{12}}$

Step 2.2

Factor $j$ out of $- j^{12}$ .

$\frac{j (j^{17} - 1)}{j \cdot 3 + j (- j^{11})}$

Step 2.3

Factor $j$ out of $j \cdot 3 + j (- j^{11})$ .

$\frac{j (j^{17} - 1)}{j (3 - j^{11})}$

Step 3

Cancel the common factor of $j$ .

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Step 3.1

Cancel the common factor.

$\frac{j (j^{17} - 1)}{j (3 - j^{11})}$

Step 3.2

Rewrite the expression.

$\frac{j^{17} - 1}{3 - j^{11}}$