Evaluate
4\left(-2a^{3}+5a^{2}+a-3\right)
Expand
-8a^{3}+20a^{2}+4a-12
Share
Copied to clipboard
-8a^{3}+2a^{2}+4a+3\left(6a^{2}-4\right)
Use the distributive property to multiply a by -8a^{2}+2a+4.
-8a^{3}+2a^{2}+4a+18a^{2}-12
Use the distributive property to multiply 3 by 6a^{2}-4.
-8a^{3}+20a^{2}+4a-12
Combine 2a^{2} and 18a^{2} to get 20a^{2}.
-8a^{3}+2a^{2}+4a+3\left(6a^{2}-4\right)
Use the distributive property to multiply a by -8a^{2}+2a+4.
-8a^{3}+2a^{2}+4a+18a^{2}-12
Use the distributive property to multiply 3 by 6a^{2}-4.
-8a^{3}+20a^{2}+4a-12
Combine 2a^{2} and 18a^{2} to get 20a^{2}.
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}