Evaluate
\frac{3w+7}{w^{2}}
Factor
\frac{3w+7}{w^{2}}
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\frac{3w}{w^{2}}+\frac{7}{w^{2}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of w and w^{2} is w^{2}. Multiply \frac{3}{w} times \frac{w}{w}.
\frac{3w+7}{w^{2}}
Since \frac{3w}{w^{2}} and \frac{7}{w^{2}} have the same denominator, add them by adding their numerators.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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