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Popular >

simplify (5x^2-5)/(x-1)

Solution

simplify

\frac{5 x ^{2} - 5}{x - 1}

Solution

5 x + 5

Solution steps

\frac{5 x ^{2} - 5}{x - 1}

Factor

5 x^{2} - 5 : 5 (x^{2} - 1)

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

Factor

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

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

Cancel the common factor:

x - 1

= 5 (x + 1)

Expand

5 (x + 1) : 5 x + 5

= 5 x + 5

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Frequently Asked Questions (FAQ)

What is (5x^2-5)/(x-1) ?
The solution to (5x^2-5)/(x-1) is 5x+5