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Popular >

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

Solution

simplify

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

Solution

2 + x

Solution steps

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

Factor

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

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

Simplify

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

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

Cancel the common factor:

x

= 2 + x

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Frequently Asked Questions (FAQ)

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