Evaluate
-a\left(477a+82\right)
Expand
-477a^{2}-82a
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2a-3a\left(3a-4\left(3a+5-42a-12\right)\right)
Use the distributive property to multiply -6 by 7a+2.
2a-3a\left(3a-4\left(-39a+5-12\right)\right)
Combine 3a and -42a to get -39a.
2a-3a\left(3a-4\left(-39a-7\right)\right)
Subtract 12 from 5 to get -7.
2a-3a\left(3a+156a+28\right)
Use the distributive property to multiply -4 by -39a-7.
2a-3a\left(159a+28\right)
Combine 3a and 156a to get 159a.
2a-477a^{2}-84a
Use the distributive property to multiply -3a by 159a+28.
-82a-477a^{2}
Combine 2a and -84a to get -82a.
2a-3a\left(3a-4\left(3a+5-42a-12\right)\right)
Use the distributive property to multiply -6 by 7a+2.
2a-3a\left(3a-4\left(-39a+5-12\right)\right)
Combine 3a and -42a to get -39a.
2a-3a\left(3a-4\left(-39a-7\right)\right)
Subtract 12 from 5 to get -7.
2a-3a\left(3a+156a+28\right)
Use the distributive property to multiply -4 by -39a-7.
2a-3a\left(159a+28\right)
Combine 3a and 156a to get 159a.
2a-477a^{2}-84a
Use the distributive property to multiply -3a by 159a+28.
-82a-477a^{2}
Combine 2a and -84a to get -82a.
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}