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Popular >

simplify u+1+u/(u+1)

Solution

simplify

u + 1 + \frac{u}{u + 1}

Solution

\frac{u ^{2} + 3 u + 1}{u + 1}

Solution steps

u + 1 + \frac{u}{u + 1}

Convert

u

to fraction

: \frac{u ( u + 1 )}{u + 1}

Convert

1

to fraction

: \frac{u + 1}{u + 1}

= \frac{u ( u + 1 )}{u + 1} + \frac{u + 1}{u + 1} + \frac{u}{u + 1}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{u ( u + 1 ) + u + 1 + u}{u + 1}

Simplify

u (u + 1) + u + 1 + u : u (u + 1) + 2 u + 1

= \frac{u ( u + 1 ) + 2 u + 1}{u + 1}

Simplify

u (u + 1) + 2 u + 1 : u^{2} + 3 u + 1

= \frac{u ^{2} + 3 u + 1}{u + 1}

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Frequently Asked Questions (FAQ)

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