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Popular >

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

Solution

simplify

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

Solution

x + 2

Solution steps

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

Factor

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

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

Simplify

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

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

Cancel the common factor:

x

= x + 2

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Frequently Asked Questions (FAQ)

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