which expression is equivalent to $\frac{x - 5}{(x - 5)(x - 4)}$?\n$\frac{1}{x - 4}$\n$x - 4$\n$\frac{1}{-9x…

which expression is equivalent to $\frac{x - 5}{(x - 5)(x - 4)}$?\n$\frac{1}{x - 4}$\n$x - 4$\n$\frac{1}{-9x - 4}$\n$-9x - 4$

which expression is equivalent to $\frac{x - 5}{(x - 5)(x - 4)}$?\n$\frac{1}{x - 4}$\n$x - 4$\n$\frac{1}{-9x - 4}$\n$-9x - 4$

Answer

Answer:

A. $\frac{1}{x - 4}$

Explanation:

Step1: Cancel out common factor

Given $\frac{x - 5}{(x - 5)(x - 4)}$, cancel out $(x - 5)$ in numerator and denominator. $\frac{x - 5}{(x - 5)(x - 4)}=\frac{1}{x - 4}$ (assuming $x\neq5$ to avoid division by zero).