x2(x−2)−5(x−2)2
5(x−2)+x2(x−2)2
12(x−2)+5x2(x−2)2
−12(x−2)+8x2(x−2)2
Correct answer is C
3x−1(x−2)2=A(x−2)+Bx(x−2)2
3x−1(x−2)2=A(x−2)+Bx(x−2)2
Comparing, we have
3x−1=Ax−2A+Bx⟹−2A=−1;A+B=3
∴
= \frac{1}{2(x - 2)} + \frac{5x}{2(x - 2)^{2}}
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