Question 119876


{{{(x^2-5x-14)/(2x^2-x-10)}}} Start with the given expression


{{{((x-7)(x+2))/(2x^2-x-10)}}}   Factor {{{x^2-5x-14}}} to get {{{(x-7)(x+2)}}} 


{{{((x-7)(x+2))/((2x-5)(x+2))}}}   Factor {{{2x^2-x-10}}} to get {{{(2x-5)(x+2)}}} 



{{{(x-7)(x+2)/(2x-5)(x+2)}}} Combine the fractions



{{{(x-7)cross((x+2))/(2x-5)cross((x+2))}}} Cancel like terms



{{{(x-7)/(2x-5)}}} Simplify



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Answer:


So {{{(x^2-5x-14)/(2x^2-x-10)}}} simplifies to {{{(x-7)/(2x-5)}}}. In other words {{{(x^2-5x-14)/(2x^2-x-10)=(x-7)/(2x-5)}}}