Respuesta :

Answer:

                                     x²

                                  ------- (8 -21x)

                                     14                        

Step-by-step 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.