SOLUTION: Please help me to solve my homework question. thanks! Write in lowest terms 25x^2-16/15X^3+7x^2-4x

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Question 77106: Please help me to solve my homework question. thanks!

Write in lowest terms

25x^2-16/15X^3+7x^2-4x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the numerator 25x%5E2-16
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


Now factor out an x from the denominator
x%2815x%5E2%2B7x-4%29
Factor the quadratic in the parenthesis
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


So the expression goes from
%2825x%5E2-16%29%2F%2815X%5E3%2B7x%5E2-4x%29
to
%28%285x%2B4%29%285x-4%29%29%2F%28x%283x-1%29%285x%2B4%29%29


%28cross%285x%2B4%29%285x-4%29%29%2F%28x%283x-1%29cross%285x%2B4%29%29
Which reduces to
%285x-4%29%2F%28x%283x-1%29%29