( 0.5 m - 0.2 n - 0.4 ) ( 0.1 m + 0.3 n
Evaluate
\frac{m+3n}{10}\left(\frac{m}{2}-\frac{n}{5}-0.4\right)
Expand
\frac{13mn}{100}+\frac{m^{2}}{20}-\frac{3n^{2}}{50}-\frac{m}{25}-\frac{3n}{25}
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0.05m^{2}+0.15mn-0.02nm-0.06n^{2}-0.04m-0.12n
Apply the distributive property by multiplying each term of 0.5m-0.2n-0.4 by each term of 0.1m+0.3n.
0.05m^{2}+0.13mn-0.06n^{2}-0.04m-0.12n
Combine 0.15mn and -0.02nm to get 0.13mn.
0.05m^{2}+0.15mn-0.02nm-0.06n^{2}-0.04m-0.12n
Apply the distributive property by multiplying each term of 0.5m-0.2n-0.4 by each term of 0.1m+0.3n.
0.05m^{2}+0.13mn-0.06n^{2}-0.04m-0.12n
Combine 0.15mn and -0.02nm to get 0.13mn.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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Limits
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