Evaluate
5l\left(5n+l\right)
Expand
25ln+5l^{2}
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40ln-12lm+8l^{2}-3l\left(l-4m+5n\right)
Use the distributive property to multiply 4l by 10n-3m+2l.
40ln-12lm+8l^{2}-3l^{2}+12lm-15ln
Use the distributive property to multiply -3l by l-4m+5n.
40ln-12lm+5l^{2}+12lm-15ln
Combine 8l^{2} and -3l^{2} to get 5l^{2}.
40ln+5l^{2}-15ln
Combine -12lm and 12lm to get 0.
25ln+5l^{2}
Combine 40ln and -15ln to get 25ln.
40ln-12lm+8l^{2}-3l\left(l-4m+5n\right)
Use the distributive property to multiply 4l by 10n-3m+2l.
40ln-12lm+8l^{2}-3l^{2}+12lm-15ln
Use the distributive property to multiply -3l by l-4m+5n.
40ln-12lm+5l^{2}+12lm-15ln
Combine 8l^{2} and -3l^{2} to get 5l^{2}.
40ln+5l^{2}-15ln
Combine -12lm and 12lm to get 0.
25ln+5l^{2}
Combine 40ln and -15ln to get 25ln.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}