Evaluate
\left(2m-5n\right)\left(5m+2n\right)
Expand
10m^{2}-21mn-10n^{2}
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10m^{2}-25mn+4nm-10n^{2}
Apply the distributive property by multiplying each term of 5m+2n by each term of 2m-5n.
10m^{2}-21mn-10n^{2}
Combine -25mn and 4nm to get -21mn.
10m^{2}-25mn+4nm-10n^{2}
Apply the distributive property by multiplying each term of 5m+2n by each term of 2m-5n.
10m^{2}-21mn-10n^{2}
Combine -25mn and 4nm to get -21mn.
Examples
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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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