Simplify; 2/1-x - 1/x

Correct Answer is : 3x−1x(1−x)3x-1/x(1-x)x(1−x)3x−1

Correct Answer is : 3x−1x(1−x)3x-1/x(1-x)x(1−x)3x−1

Test Index

WAEC Mathematics 2016 Paper

Question : 12

Total: 49

Simplify;

\frac{2}{1-x} - \frac{1}{x}

Solution:

Concept:

Combining two algebraic fractions by finding a common denominator.

Explanation:

The common denominator for

\frac{2}{1-x}

and

\frac{1}{x}

x(1-x)

Rewrite the first fraction with this denominator:

\frac{2}{1-x} = \frac{2x}{x(1-x)}

Rewrite the second fraction:

\frac{1}{x} = \frac{1-x}{x(1-x)}

Subtract the numerators:

\frac{2x}{x(1-x)} - \frac{1-x}{x(1-x)} = \frac{2x - (1-x)}{x(1-x)}

Simplify the numerator:

2x - 1 + x = 3x - 1

So the result is

\frac{3x-1}{x(1-x)}

Answer:

\frac{3x-1}{x(1-x)}

(Option B).

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