Question 132317

{{{(2x^2 + x - 3)/(x-1)}}} Start with the given expression


{{{((2x+3)(x-1))/(x-1)}}}   Factor {{{2x^2 + x - 3}}} to get {{{(2x+3)(x-1)}}}  (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/change-this-name4450.solver>solver</a>)




{{{(2x+3)(x-1)/(x-1)}}} Combine the fractions



{{{(2x+3)cross((x-1))/cross((x-1))}}} Cancel like terms



{{{2x+3}}} Simplify



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Answer:


So {{{(2x^2 + x - 3)/(x-1)}}} simplifies to {{{2x+3}}}. In other words {{{(2x^2 + x - 3)/(x-1)=2x+3}}}