Simplify ((7y-3x)(5x-1))/((5x^3+x^2)(3x-7y))

$\frac{(7 y - 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Cancel the common factor of $7 y - 3 x$ and $3 x - 7 y$ .

Factor $- 1$ out of $7 y$ .

$\frac{(- (- 7 y) - 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Factor $- 1$ out of $- 3 x$ .

$\frac{(- (- 7 y) - (3 x)) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Factor $- 1$ out of $- (- 7 y) - (3 x)$ .

$\frac{- (- 7 y + 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Rewrite $- (- 7 y + 3 x)$ as $- 1 (- 7 y + 3 x)$ .

$\frac{- 1 (- 7 y + 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Reorder terms.

$\frac{- 1 (3 x - 7 y) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Cancel the common factor.

$\frac{- 1 (3 x - 7 y) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$

Rewrite the expression.

$\frac{- 1 (5 x - 1)}{5 x^{3} + x^{2}}$

Factor $x^{2}$ out of $5 x^{3} + x^{2}$ .

Factor $x^{2}$ out of $5 x^{3}$ .

$\frac{- 1 (5 x - 1)}{x^{2} (5 x) + x^{2}}$

Multiply by $1$ .

$\frac{- 1 (5 x - 1)}{x^{2} (5 x) + x^{2} \cdot 1}$

Factor $x^{2}$ out of $x^{2} (5 x) + x^{2} \cdot 1$ .

$\frac{- 1 (5 x - 1)}{x^{2} (5 x + 1)}$

Move the negative in front of the fraction.

$- \frac{5 x - 1}{x^{2} (5 x + 1)}$