SOLUTION: Multiply and simplify - 6b^4/11p^2 x 121p^4/36b. I have gotten so far, 726b^4p^4/396p^2b and then I am stuck. How do I complete this? This question is from a skill check for m

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply and simplify - 6b^4/11p^2 x 121p^4/36b. I have gotten so far, 726b^4p^4/396p^2b and then I am stuck. How do I complete this? This question is from a skill check for m      Log On


   

Question 147998: Multiply and simplify - 6b^4/11p^2 x 121p^4/36b. I have gotten so far, 726b^4p^4/396p^2b and then I am stuck. How do I complete this? This question is from a skill check for my Algebra 114 class
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286b%5E4%29%2F%2811p%5E2%29%29%28%28121p%5E4%29%2F%2836b%29%29 Start with the given expression.



%28%282%2A3%2Ab%2Ab%2Ab%2Ab%29%2F%2811%2Ap%2Ap%29%29%28%28121p%5E4%29%2F%2836b%29%29 Expand %286b%5E4%29%2F%2811p%5E2%29. Remember, 6b%5E4=2%2A3%2Ab%2Ab%2Ab%2Ab and 11p%5E2=11%2Ap%2Ap

Expand %28121p%5E4%29%2F%2836b%29. Remember, 121p%5E4=11%2A11%2Ap%2Ap%2Ap%2Ap and 36b=2%2A2%2A3%2A3%2Ab


Highlight the common terms.


Cancel out the common terms.


%28%28b%2Ab%2Ab%29%2F%281%29%29%28%2811%2Ap%2Ap%29%2F%282%2A3%29%29 Simplify.


%28%28b%2Ab%2Ab%29%2811%2Ap%2Ap%29%29%2F%28%281%29%282%2A3%29%29 Combine the fractions.


%2811b%5E3p%5E2%29%2F%286%29 Multiply.


So %28%286b%5E4%29%2F%2811p%5E2%29%29%28%28121p%5E4%29%2F%2836b%29%29 simplifies to %2811b%5E3p%5E2%29%2F%286%29


In other words, where b%3C%3E0 or p%3C%3E0