Question 121200
{{{(x^2)/(x-5)+(4x-45)/(x-5)}}} Start with the given expression



{{{(x^2+4x-45)/(x-5)}}} Since the denominators are all equal, we can combine the numerators





{{{(x+9)(x-5)/(x-5)}}} Factor the numerator



{{{(x+9)cross((x-5))/cross((x-5))}}} Cancel like terms




{{{x+9}}} Simplify





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Answer:

So {{{(x^2)/(x-5)+(4x-45)/(x-5)}}} simplifies to {{{x+9}}}. In other words, {{{(x^2)/(x-5)+(4x-45)/(x-5)=x+9}}} However, keep in mind that {{{x<>5}}}