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Nady [450]
4 years ago
10

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!! Subract and simplify.

Mathematics
1 answer:
pantera1 [17]4 years ago
5 0

Answer: C

<u>Step-by-step explanation:</u>

  \dfrac{x+1}{x-5} - \dfrac{x-2}{x+3}

= \dfrac{x+1}{x-5}(\dfrac{x+3}{x+3}) - \dfrac{x-2}{x+3}(\dfrac{x-5}{x-5})

= \dfrac{x^{2}+4x+3}{(x-5)(x+3)} - \dfrac{x^{2}-7x+10}{(x-5)(x+3)}

= \dfrac{x^{2}+4x+3-(x^{2}-7x+10)}{(x-5)(x+3)}

= \dfrac{11x-7}{(x-5)(x+3)}

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