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Popular >

simplify (2x^2-2)/(x-1)

Solution

simplify

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

Solution

2 x + 2

Solution steps

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

Factor

2 x^{2} - 2 : 2 (x^{2} - 1)

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

Factor

x^{2} - 1 : (x + 1) (x - 1)

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

Cancel the common factor:

x - 1

= 2 (x + 1)

Expand

2 (x + 1) : 2 x + 2

= 2 x + 2

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Frequently Asked Questions (FAQ)

What is (2x^2-2)/(x-1) ?
The solution to (2x^2-2)/(x-1) is 2x+2