Simplify (1 + (frac{frac{x – 1}{1}}{frac{1}{x + 1}}))(x + 2)
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A.
(x2 – 1)(x + 2) -
B.
x2(x + 2) - C.2 + 34
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D.
(frac{3x^2 – 1}{(x – 1)})
Correct Answer: Option B
Explanation
((1 + frac{x – 1}{frac{1}{x + 1}})(x + 2))
((x – 1) div frac{1}{x + 1} = (x – 1)(x + 1) = x^{2} – 1)
((1 + x^{2} – 1)(x + 2) = x^{2}(x + 2))