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((2x+1)^(2) )/((2x+1)(x-3))\\ - (5)/(x^(2) -5x+6)

((2x+1)^(2) )/((2x+1)(x-3))\\ - (5)/(x^(2) -5x+6)
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((2x+1)^(2) )/((2x+1)(x-3))\\ - (5)/(x^(2) -5x+6)

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User Cristina Alboni
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7.9k points

1 Answer

7 votes

Answer:

Explanation:


((2x+1)^2)/((2x+1)(x-3)) -(5)/(x^2-5x+6) \\=(2x+1)/(x-3) -(5)/(x^2-2x-3x+6) \\=(2x+1)/(x-3) -(5)/(x(x-2)-3(x-2) ) \\=(2x+1)/(x-3) -(5)/((x-2)(x-3))\\=((2x+1)(x-2)-5)/((x-2)(x-3))\\=(2x^2-3x-2-5)/(x^2-5x+6) \\\[=(2x^2-3x-7)/(x^2-5x+6)

answered
User Milianw
by
9.0k points
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