SOLUTION: please help with step by step 5x^4+2x^3 over 2x^4+3x^3 multiply by 2x^3+x^2-3x over 5x^2-3x-2

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Question 200968: please help with step by step 5x^4+2x^3 over 2x^4+3x^3 multiply by 2x^3+x^2-3x over 5x^2-3x-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression.


Factor 5x%5E4%2B2x%5E3 to get x%5E3%285x%2B2%29.


Factor 2x%5E4%2B3x%5E3 to get x%5E3%282x%2B3%29.


Factor 2x%5E3%2Bx%5E2-3x to get x%282x%2B3%29%28x-1%29.


Factor 5x%5E2-3x-2 to get %285x%2B2%29%28x-1%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


x Simplify.


So simplifies to x.


In other words,