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Popular >

simplify x+1+x/(x+1)

Solution

simplify

x + 1 + \frac{x}{x + 1}

Solution

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

Solution steps

x + 1 + \frac{x}{x + 1}

Convert

x

to fraction

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

Convert

1

to fraction

: \frac{x + 1}{x + 1}

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

Apply the fraction rule:

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

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

Simplify

x (x + 1) + x + 1 + x : x (x + 1) + 2 x + 1

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

Simplify

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

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

Popular Examples

factor 3x^3+27x^2+60x factor

3 x^{3} + 27 x^{2} + 60 x

factor 6x^2y^2-8xy^5 factor

6 x^{2} y^{2} - 8 x y^{5}

simplify (x+4)^2+(x-4)^2 simplify

(x + 4)^{2} + (x - 4)^{2}

simplify x/(tan(x))simplify

\frac{x}{tan ( x )}

simplify 9/10+1/2 simplify

\frac{9}{10} + \frac{1}{2}

Frequently Asked Questions (FAQ)

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