SOLUTION: I have this complicated math expression that I cant seem to solve. It's: 14x^2-x-3/2^2-7x+3=? nothing will factor into either of these number, so I got: 7x^2-x-3/x^2-7x+3 I

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Question 720088: I have this complicated math expression that I cant seem to solve.
It's: 14x^2-x-3/2^2-7x+3=?
nothing will factor into either of these number, so I got: 7x^2-x-3/x^2-7x+3
I need help badly. Its hard for me to start these problems.

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
First of all, please put multiple-term numerators and denominators in parentheses. What you posted, without parentheses, meant:

but I'm guessing you intended:

which should be posted as: (14x^2-x-3)/(2x^2-7x+3)
Clear, unambiguous problems are more likely to get quick responses.

The reason we try to factor these fractions is that only factors may be canceled when reducing fractions! So that 2 you canceled out was an error. 2 is not a factor of the whole numerator and denominator. It is only a factor of a term in each.

It is also an error to say that the numerator and denominator do not factor. They do factor:

and looking at this we can see that there is a common factor to cancel:

leaving:


P.S. Here some hints that might help you figure out how to factor trinomials like the original numerator and denominator:

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