Pre-Algebra Examples

$\frac{18 x^{9} - 42^{7} + 30 x^{2}}{6 x}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $42$ to the power of $7$ .

$\frac{18 x^{9} - 1 \cdot 230539333248 + 30 x^{2}}{6 x}$

Step 1.2

Multiply $- 1$ by $230539333248$ .

$\frac{18 x^{9} - 230539333248 + 30 x^{2}}{6 x}$

Step 1.3

Reorder terms.

$\frac{18 x^{9} + 30 x^{2} - 230539333248}{6 x}$

Step 1.4

Factor $6$ out of $18 x^{9} + 30 x^{2} - 230539333248$ .

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Step 1.4.1

Factor $6$ out of $18 x^{9}$ .

$\frac{6 (3 x^{9}) + 30 x^{2} - 230539333248}{6 x}$

Step 1.4.2

Factor $6$ out of $30 x^{2}$ .

$\frac{6 (3 x^{9}) + 6 (5 x^{2}) - 230539333248}{6 x}$

Step 1.4.3

Factor $6$ out of $- 230539333248$ .

$\frac{6 (3 x^{9}) + 6 (5 x^{2}) + 6 (- 38423222208)}{6 x}$

Step 1.4.4

Factor $6$ out of $6 (3 x^{9}) + 6 (5 x^{2})$ .

$\frac{6 (3 x^{9} + 5 x^{2}) + 6 (- 38423222208)}{6 x}$

Step 1.4.5

Factor $6$ out of $6 (3 x^{9} + 5 x^{2}) + 6 (- 38423222208)$ .

$\frac{6 (3 x^{9} + 5 x^{2} - 38423222208)}{6 x}$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Cancel the common factor.

$\frac{6 (3 x^{9} + 5 x^{2} - 38423222208)}{6 x}$

Step 2.2

Rewrite the expression.

$\frac{3 x^{9} + 5 x^{2} - 38423222208}{x}$