Evaluate
\frac{x+2}{x+1}
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\frac{x+2}{x+1}
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\frac{3x-\left(2x+1\right)}{x+1}+\frac{3}{x+1}
Since \frac{3x}{x+1} and \frac{2x+1}{x+1} have the same denominator, subtract them by subtracting their numerators.
\frac{3x-2x-1}{x+1}+\frac{3}{x+1}
Do the multiplications in 3x-\left(2x+1\right).
\frac{x-1}{x+1}+\frac{3}{x+1}
Combine like terms in 3x-2x-1.
\frac{x-1+3}{x+1}
Since \frac{x-1}{x+1} and \frac{3}{x+1} have the same denominator, add them by adding their numerators.
\frac{x+2}{x+1}
Combine like terms in x-1+3.
\frac{3x-\left(2x+1\right)}{x+1}+\frac{3}{x+1}
Since \frac{3x}{x+1} and \frac{2x+1}{x+1} have the same denominator, subtract them by subtracting their numerators.
\frac{3x-2x-1}{x+1}+\frac{3}{x+1}
Do the multiplications in 3x-\left(2x+1\right).
\frac{x-1}{x+1}+\frac{3}{x+1}
Combine like terms in 3x-2x-1.
\frac{x-1+3}{x+1}
Since \frac{x-1}{x+1} and \frac{3}{x+1} have the same denominator, add them by adding their numerators.
\frac{x+2}{x+1}
Combine like terms in x-1+3.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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