Evaluate
5a\left(a-20\right)
Expand
5a^{2}-100a
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2a\left(3a+10a-8\right)+3a\left(a-4\left(2a+7\right)\right)
Use the distributive property to multiply 2 by 5a-4.
2a\left(13a-8\right)+3a\left(a-4\left(2a+7\right)\right)
Combine 3a and 10a to get 13a.
26a^{2}-16a+3a\left(a-4\left(2a+7\right)\right)
Use the distributive property to multiply 2a by 13a-8.
26a^{2}-16a+3a\left(a-8a-28\right)
Use the distributive property to multiply -4 by 2a+7.
26a^{2}-16a+3a\left(-7a-28\right)
Combine a and -8a to get -7a.
26a^{2}-16a-21a^{2}-84a
Use the distributive property to multiply 3a by -7a-28.
5a^{2}-16a-84a
Combine 26a^{2} and -21a^{2} to get 5a^{2}.
5a^{2}-100a
Combine -16a and -84a to get -100a.
2a\left(3a+10a-8\right)+3a\left(a-4\left(2a+7\right)\right)
Use the distributive property to multiply 2 by 5a-4.
2a\left(13a-8\right)+3a\left(a-4\left(2a+7\right)\right)
Combine 3a and 10a to get 13a.
26a^{2}-16a+3a\left(a-4\left(2a+7\right)\right)
Use the distributive property to multiply 2a by 13a-8.
26a^{2}-16a+3a\left(a-8a-28\right)
Use the distributive property to multiply -4 by 2a+7.
26a^{2}-16a+3a\left(-7a-28\right)
Combine a and -8a to get -7a.
26a^{2}-16a-21a^{2}-84a
Use the distributive property to multiply 3a by -7a-28.
5a^{2}-16a-84a
Combine 26a^{2} and -21a^{2} to get 5a^{2}.
5a^{2}-100a
Combine -16a and -84a to get -100a.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}