Evaluate
\frac{\left(m+2n\right)^{2}}{mn}
Factor
\frac{\left(m+2n\right)^{2}}{mn}
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\frac{m}{n}+\frac{4n}{n}+\frac{4n}{m}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{n}{n}.
\frac{m+4n}{n}+\frac{4n}{m}
Since \frac{m}{n} and \frac{4n}{n} have the same denominator, add them by adding their numerators.
\frac{\left(m+4n\right)m}{mn}+\frac{4nn}{mn}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of n and m is mn. Multiply \frac{m+4n}{n} times \frac{m}{m}. Multiply \frac{4n}{m} times \frac{n}{n}.
\frac{\left(m+4n\right)m+4nn}{mn}
Since \frac{\left(m+4n\right)m}{mn} and \frac{4nn}{mn} have the same denominator, add them by adding their numerators.
\frac{m^{2}+4nm+4n^{2}}{mn}
Do the multiplications in \left(m+4n\right)m+4nn.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
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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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