SOLUTION: Please help me solve this equation: (15x^3-10x^2) over (3x^2-5x+2) I have no idea how to solve this so I can't provide any work that proves that I have tried doing it.

Algebra.Com
Question 77996: Please help me solve this equation:
(15x^3-10x^2) over (3x^2-5x+2)
I have no idea how to solve this so I can't provide any work that proves that I have tried doing it.

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve this equation:
(15x^3-10x^2) over (3x^2-5x+2)
----------
It is not an equation so it has no "solution".
Maybe you were asked to "simplify" it.
---------
Factor where you can to get:
(5x^2(3x-2))/(3x+1)(x-2))
----------
There are no factors common to numerator and denominator
so no cancelling can be done.
=========
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


Factor out 5x^2 on the numerator
Now factor the denominator:
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


So we get the expression


Notice the terms cancel
which leaves us with this:

So the expression reduces to



As always, you can graph the two expressions as equations and they will be the same. This means they are equivalent.

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