The least common factor denominator is 8x².
Solution:
Given rational expressions:
[tex]$\frac{-7}{x} \ \ \text{and} \ \ \frac{3}{8 x^{2}}[/tex]
To find the least common denominator for the rational expressions:
The denominators of the rational expressions are x and 8x².
Factor of x = x
Factor of 8x² = 8 × x × x
Least common factor of x and 8x² = x × 8 × x
= 8x²
Hence the least common factor denominator for those two rational expressions is 8x².
