Question 99546
Your second answer is correct.
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The answer to the first problem is x-1 and you get it as follows:
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Given:
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{{{x^2/(x+10) + (9x - 10)/(x+10)}}}
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Since both parts of this problem have the common denominator of x + 10, the numerators
can be added and the result placed over the common denominator to get:
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{{{(x^2 + 9x - 10)/(x+10)}}}
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The numerator can be factored. When you factor it the result is:
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{{{((x -1)(x+10))/(x+10)}}}
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Now cancel the common factors of x + 10 in the numerator and x+10 in the denominator:
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{{{((x -1)(cross(x+10)))/(cross(x+10))}}}
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and you are left with the answer:
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{{{x-1}}}
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Hope this helps you find your mistake. I suspect it was in the factoring of the numerator.
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Good job on the second problem. That was a little "tricky" to solve.