Answer:
x²
------- (8 -21x)
14
Explanation:
I will assume that you actually meant (4/7)x² - (3/2)x³. Exactly what you meant by "indicated operation" is unclear; I will assume that you meant "factor and simplify (4/7)x² - (3/2)x³."
First, find the LCD and then rewrite both fractional coefficients using this LCD: The LCD is 14, and so we have:
(8/14)x² - (21/14)x³
We can now factor out x²:
(8/14)x² - (21/14)x³ = x²( [8/14] - [21/14]x ), or
x²
------- (8 -21x)
14
This cannot be simplified further.