Precalculus Examples

$18 x^{3} + 33 x^{2} + 30 x + 3 \div 6 x - 1$

Step 1

Rewrite the division as a fraction.

$18 x^{3} + 33 x^{2} + 30 x + \frac{3}{6 x} - 1$

Step 2

Cancel the common factor of $3$ and $6$ .

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Step 2.1

Factor $3$ out of $3$ .

$18 x^{3} + 33 x^{2} + 30 x + \frac{3 (1)}{6 x} - 1$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $6 x$ .

$18 x^{3} + 33 x^{2} + 30 x + \frac{3 (1)}{3 (2 x)} - 1$

Step 2.2.2

Cancel the common factor.

$18 x^{3} + 33 x^{2} + 30 x + \frac{3 \cdot 1}{3 (2 x)} - 1$

Step 2.2.3

Rewrite the expression.

$18 x^{3} + 33 x^{2} + 30 x + \frac{1}{2 x} - 1$