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Pls help! i don't understand this! it would rlly help if someone were to explain

Pls help! i don't understand this! it would rlly help if someone were to explain-example-1

1 Answer

4 votes

Answer:

C 1

Explanation:

x-1/x-2 - x^2+4x-4/(x-2)(x+6)

rewrite: (x-1)(x+6)-(x^2 + 4x - 4)/(x-2)(x+6)

expand x^2+6x-x-6-x^2-4x+4/(x-2)(x+6)

collect like terms (x^2-x^2)+(6x-x-4x)+(-6+4)/(x-2)(x+6)

simplify x-2/(x-2)(x+6)

cancel x-2 and get 1/x+6

but that is the only answer I can get from this, so I believe many one, just because of the numerator

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