Simplify (21x^2-105x)/(7x-56)

$\frac{21 x^{2} - 105 x}{7 x - 56}$

Factor $21 x$ out of $21 x^{2} - 105 x$ .

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

$\frac{21 x (x) - 105 x}{7 x - 56}$

Factor $21 x$ out of $- 105 x$ .

$\frac{21 x (x) + 21 x (- 5)}{7 x - 56}$

Factor $21 x$ out of $21 x (x) + 21 x (- 5)$ .

$\frac{21 x (x - 5)}{7 x - 56}$

$\frac{21 x (x - 5)}{7 x - 56}$

Factor $7$ out of $7 x - 56$ .

Factor $7$ out of $7 x$ .

$\frac{21 x (x - 5)}{7 (x) - 56}$

Factor $7$ out of $- 56$ .

$\frac{21 x (x - 5)}{7 x + 7 \cdot - 8}$

Factor $7$ out of $7 x + 7 \cdot - 8$ .

$\frac{21 x (x - 5)}{7 (x - 8)}$

$\frac{21 x (x - 5)}{7 (x - 8)}$

Cancel the common factor of $21$ and $7$ .

Factor $7$ out of $21 x (x - 5)$ .

$\frac{7 (3 x (x - 5))}{7 (x - 8)}$

Cancel the common factors.

Cancel the common factor.

$\frac{7 (3 x (x - 5))}{7 (x - 8)}$

Rewrite the expression.

$\frac{3 x (x - 5)}{x - 8}$

$\frac{3 x (x - 5)}{x - 8}$

$\frac{3 x (x - 5)}{x - 8}$

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