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Resolve 3x1(x2)2,x2 into partia...

Resolve 3x1(x2)2,x2 into partial fractions.

A.

x2(x2)5(x2)2

B.

5(x2)+x2(x2)2

C.

12(x2)+5x2(x2)2

D.

12(x2)+8x2(x2)2

Correct answer is C

3x1(x2)2=A(x2)+Bx(x2)2

3x1(x2)2=A(x2)+Bx(x2)2

Comparing, we have

3x1=Ax2A+Bx2A=1;A+B=3

= \frac{1}{2(x - 2)} + \frac{5x}{2(x - 2)^{2}}