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(3c +15)/(c2 - 5) + c/(c + 5)

= (3c + 15)/(c - 5)(c + 5) + c/(c + 5)

= (3c + 15)/(c - 5)(c + 5) + [c(c - 5)/(c + 5)(c - 5)(since the common denominator is (c + 5)(c - 5)

= (3c + 15)/(c - 5)(c + 5) + (c2 - 5c)/(c + 5)(c - 5)

= (3c + 15 + c2 - 5c)/(c - 5)(c + 5)

= (c2 - 2c + 15)/(c - 5)(c + 5)

= [(c - 5)(c + 3)]/(c - 5)(c + 5) (simplify)

= (c + 3)/(c + 5)

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15y ago

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