Evaluate
\frac{x+y+b}{x+y}
Differentiate w.r.t. x
-\frac{b}{\left(x+y\right)^{2}}
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\frac{x+y}{x+y}+\frac{b}{x+y}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x+y}{x+y}.
\frac{x+y+b}{x+y}
Since \frac{x+y}{x+y} and \frac{b}{x+y} have the same denominator, add them by adding their numerators.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
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Limits
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