SOLUTION: Can someone please help me with this: Perform the indicated operation. Give the answer in lowest terms. 3x^2/4 x 16/x^3

Algebra ->  Expressions-with-variables -> SOLUTION: Can someone please help me with this: Perform the indicated operation. Give the answer in lowest terms. 3x^2/4 x 16/x^3      Log On


   

Question 201119: Can someone please help me with this:
Perform the indicated operation. Give the answer in lowest terms.
3x^2/4 x 16/x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283x%5E2%29%2F4%29%2A%2816%2F%28x%5E3%29%29 Start with the given expression.


%283%2A16x%5E2%29%2F%284x%5E3%29 Combine the fractions.


%283%2A4%2A4x%5E2%29%2F%284x%5E3%29 Factor 16 into 4*4


%283%2A4%2A4x%5E2%29%2F%284x%5E2%2Ax%29 Factor x%5E3 into x%5E2%2Ax


Highlight the common terms.


%283%2Across%284%29%2A4%2Across%28x%5E2%29%29%2F%28cross%284%29%2Across%28x%5E2%29%2Ax%29 Cancel out the common terms.


%283%2A4%29%2Fx Simplify


12%2Fx Multiply


So %28%283x%5E2%29%2F4%29%2A%2816%2F%28x%5E3%29%29=12%2Fx