Simplify (21x^2-21x)/(18x^2-18x)*(6x)/(6x^2)

$\frac{21 x^{2} - 21 x}{18 x^{2} - 18 x} \cdot \frac{6 x}{6 x^{2}}$

Factor $21 x$ out of $21 x^{2} - 21 x$ .

Factor $21 x$ out of $21 x^{2}$ .

$\frac{21 x (x) - 21 x}{18 x^{2} - 18 x} \cdot \frac{6 x}{6 x^{2}}$

Factor $21 x$ out of $- 21 x$ .

$\frac{21 x (x) + 21 x (- 1)}{18 x^{2} - 18 x} \cdot \frac{6 x}{6 x^{2}}$

Factor $21 x$ out of $21 x (x) + 21 x (- 1)$ .

$\frac{21 x (x - 1)}{18 x^{2} - 18 x} \cdot \frac{6 x}{6 x^{2}}$

Factor $18 x$ out of $18 x^{2} - 18 x$ .

Factor $18 x$ out of $18 x^{2}$ .

$\frac{21 x (x - 1)}{18 x (x) - 18 x} \cdot \frac{6 x}{6 x^{2}}$

Factor $18 x$ out of $- 18 x$ .

$\frac{21 x (x - 1)}{18 x (x) + 18 x (- 1)} \cdot \frac{6 x}{6 x^{2}}$

Factor $18 x$ out of $18 x (x) + 18 x (- 1)$ .

$\frac{21 x (x - 1)}{18 x (x - 1)} \cdot \frac{6 x}{6 x^{2}}$

Combine.

$\frac{21 x (x - 1) (6 x)}{18 x (x - 1) (6 x^{2})}$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$\frac{21 (x \cdot x) (x - 1) \cdot 6}{18 x (x - 1) (6 x^{2})}$

Multiply $x$ by $x$ .

$\frac{21 x^{2} (x - 1) \cdot 6}{18 x (x - 1) (6 x^{2})}$

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{21 x^{2} (x - 1) \cdot 6}{18 (x^{2} x) (x - 1) \cdot 6}$

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$\frac{21 x^{2} (x - 1) \cdot 6}{18 (x^{2} x^{1}) (x - 1) \cdot 6}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{21 x^{2} (x - 1) \cdot 6}{18 x^{2 + 1} (x - 1) \cdot 6}$

Add $2$ and $1$ .

$\frac{21 x^{2} (x - 1) \cdot 6}{18 x^{3} (x - 1) \cdot 6}$

Cancel the common factor of $21$ and $18$ .

Factor $3$ out of $21 x^{2} (x - 1) \cdot 6$ .

$\frac{3 (7 x^{2} (x - 1) \cdot 6)}{18 x^{3} (x - 1) \cdot 6}$

Cancel the common factors.

Factor $3$ out of $18 x^{3} (x - 1) \cdot 6$ .

$\frac{3 (7 x^{2} (x - 1) \cdot 6)}{3 (6 x^{3} (x - 1) \cdot 6)}$

Cancel the common factor.

$\frac{3 (7 x^{2} (x - 1) \cdot 6)}{3 (6 x^{3} (x - 1) \cdot 6)}$

Rewrite the expression.

$\frac{7 x^{2} (x - 1) \cdot 6}{6 x^{3} (x - 1) \cdot 6}$

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

Factor $x^{2}$ out of $7 x^{2} (x - 1) \cdot 6$ .

$\frac{x^{2} ((7 (x - 1)) \cdot 6)}{6 x^{3} (x - 1) \cdot 6}$

Cancel the common factors.

Factor $x^{2}$ out of $6 x^{3} (x - 1) \cdot 6$ .

$\frac{x^{2} ((7 (x - 1)) \cdot 6)}{x^{2} (6 x (x - 1) \cdot 6)}$

Cancel the common factor.

$\frac{x^{2} ((7 (x - 1)) \cdot 6)}{x^{2} (6 x (x - 1) \cdot 6)}$

Rewrite the expression.

$\frac{(7 (x - 1)) \cdot 6}{6 x (x - 1) \cdot 6}$

Cancel the common factor of $x - 1$ .

Cancel the common factor.

$\frac{7 (x - 1) \cdot 6}{6 x (x - 1) \cdot 6}$

Rewrite the expression.

$\frac{(7) \cdot 6}{6 x \cdot 6}$

Cancel the common factor of $6$ .

Cancel the common factor.

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

Rewrite the expression.

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

Move $6$ to the left of $x$ .

$\frac{7}{6 x}$

Simplify (21x^2-21x)/(18x^2-18x)*(6x)/(6x^2)

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