SOLUTION: please help me solve this equation. I'm not sure how to solve this problem. {{{4xy^2/-10x^2y^4*15x^5y^3/12y^2}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me solve this equation. I'm not sure how to solve this problem. {{{4xy^2/-10x^2y^4*15x^5y^3/12y^2}}}      Log On


   

Question 190785: please help me solve this equation. I'm not sure how to solve this problem. 4xy%5E2%2F-10x%5E2y%5E4%2A15x%5E5y%5E3%2F12y%5E2
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve this equation. I'm not sure how to solve this problem. [4xy^2/-10x^2y^4] * [15x^5y^3/12y^2]
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Cancel any factors that are common to a numerator and a denominator,
such as 2,3,5,x,y^2
------------------------
= [1/-y] * [x^4/2]
= -x^4/2y
==============
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284xy%5E2%29%2F%28-10x%5E2y%5E4%29%29%28%2815x%5E5y%5E3%29%2F%2812y%5E2%29%29 Start with the given expression.


%28%284xy%5E2%29%2815x%5E5y%5E3%29%29%2F%28%28-10x%5E2y%5E4%29%2812y%5E2%29%29 Combine the fractions


%28%284%2A15%29%28xy%5E2%2Ax%5E5y%5E3%29%29%2F%28%28-10%2A12%29%28x%5E2y%5E4%2Ay%5E2%29%29 Rearrange the terms


%2860xy%5E2%2Ax%5E5y%5E3%29%2F%28-120x%5E2y%5E4%2Ay%5E2%29 Multiply the coefficients


-%28xy%5E2%2Ax%5E5y%5E3%29%2F%282x%5E2y%5E4%2Ay%5E2%29 Reduce the coefficients


-%28x%5E%281%2B5%29y%5E%282%2B3%29%29%2F%282x%5E2y%5E%284%2B2%29%29 Multiply the variable terms by adding the corresponding exponents


-%28x%5E6y%5E5%29%2F%282x%5E2y%5E6%29 Add


-%28x%5E%286-2%29y%5E%285-6%29%29%2F%282%29 Divide the variable terms by subtracting the corresponding exponents


-%28x%5E4y%5E%28-1%29%29%2F%282%29 Subtract


-%28x%5E4%29%2F%282y%5E1%29 Rewrite y%5E%28-1%29 as 1%2Fy%5E1


-%28x%5E4%29%2F%282y%29 Simplify


So where x%3C%3E0 or y%3C%3E0