vdc0316 vdc0316

13-02-2021
Mathematics

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Subtract. (x2−4x+1)/(x2−6x+9)−(x+1)/(x−3)

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rachelsdesiree rachelsdesiree

13-02-2021

Answer:

2/(x-3)^2

Step-by-step explanation:

Factor x^2-6x+9: (x-3)^2

Adjust fractions based on LCM:

[tex]((x^{2} -4x+1)/(x-3)^2)-((x-1)(x-3/(x-3)^2[/tex]

Combine Fractions b/c denominators are equal:

[tex]x^2-4x+1-(x-1)(x-3)/(x-3)^2[/tex]

Expand and simplify

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