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Popular >

simplify (x^3-1)/(2x-2)

Solution

simplify

\frac{x ^{3} - 1}{2 x - 2}

Solution

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

Solution steps

\frac{x ^{3} - 1}{2 x - 2}

Factor

x^{3} - 1 : (x - 1) (x^{2} + x + 1)

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

Factor

2 x - 2 : 2 (x - 1)

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

Cancel the common factor:

x - 1

= \frac{x ^{2} + x + 1}{2}

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Frequently Asked Questions (FAQ)

What is (x^3-1)/(2x-2) ?
The solution to (x^3-1)/(2x-2) is (x^2+x+1)/2