Question

find the produ

1. \\(\frac{(x + 5)}{(x^3 - 25x)}\\) (\\(x^2 - 10\\))

Explanation:

Step1: Factor denominator

Factor out $x$ from $x^2 - 25x$:
$x^2 - 25x = x(x - 25)$

Step2: Rewrite the product

Substitute factored form into the expression:
$\frac{x+5}{x(x - 25)} \times (x - 25)$

Step3: Cancel common terms

Cancel $(x - 25)$ from numerator and denominator:
$\frac{x+5}{x} \times 1$

Answer:

$\frac{x+5}{x}$ (where $x
eq 0, 25$)