Simplify the difference.

asked May 20, 2019 149k views

4 votes

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2 votes

$\displaystyle(n^2-10n+24)/(n^2-13n+42)-(9)/(n-7)=((n-6)(n-4))/((n-6)(n-7))-(9)/(n-7)\\\\=(n-4)/(n-7)-(9)/(n-7)=(n-4-9)/(n-7)\\\\=(n-13)/(n-7)$

The last choice is appropriate.

Sanityinc answered May 26, 2019

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