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Write as a single fraction \(\frac{1}{1 - x} + \frac{2}{1 + ...

Write as a single fraction 11x+21+x

A.

x+31x2

B.

3x(1x)2

C.

3x1+x2

D.

3x(1+x)2

E.

3x1x2

Correct answer is E

11x+21+x

= (1+x)+2(1x)(1x)(1+x)

= 1+x+22x1x2

= 3x1x2