Simplify -(36x^3)/(42x^2)

$- \frac{36 x^{3}}{42 x^{2}}$

Step 1

Cancel the common factor of $36$ and $42$ .

Factor $6$ out of $36 x^{3}$ .

$- \frac{6 (6 x^{3})}{42 x^{2}}$

Cancel the common factors.

Factor $6$ out of $42 x^{2}$ .

$- \frac{6 (6 x^{3})}{6 (7 x^{2})}$

Cancel the common factor.

$- \frac{6 (6 x^{3})}{6 (7 x^{2})}$

Rewrite the expression.

$- \frac{6 x^{3}}{7 x^{2}}$

$- \frac{6 x^{3}}{7 x^{2}}$

$- \frac{6 x^{3}}{7 x^{2}}$

Step 2

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Factor $x^{2}$ out of $6 x^{3}$ .

$- \frac{x^{2} (6 x)}{7 x^{2}}$

Cancel the common factors.

Factor $x^{2}$ out of $7 x^{2}$ .

$- \frac{x^{2} (6 x)}{x^{2} \cdot 7}$

Cancel the common factor.

$- \frac{x^{2} (6 x)}{x^{2} \cdot 7}$

Rewrite the expression.

$- \frac{6 x}{7}$

$- \frac{6 x}{7}$

$- \frac{6 x}{7}$

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