Question

efetue e simplifique a expressão:((x2 - x) / (x2 - 2x + 1 )) . ((x2 - 1) / (5x + 5))

Answer 1

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