Evaluate
-4\left(2a^{2}+a-2\right)a^{3}
Expand
8a^{3}-4a^{4}-8a^{5}
Quiz
Polynomial
5 problems similar to:
( a ^ { 2 } + \frac { 1 } { 2 } a - 1 ) \cdot ( - 2 a ) ^ { 3 }
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\left(a^{2}+\frac{1}{2}a-1\right)\left(-2\right)^{3}a^{3}
Expand \left(-2a\right)^{3}.
\left(a^{2}+\frac{1}{2}a-1\right)\left(-8\right)a^{3}
Calculate -2 to the power of 3 and get -8.
\left(-8a^{2}-4a+8\right)a^{3}
Use the distributive property to multiply a^{2}+\frac{1}{2}a-1 by -8.
-8a^{5}-4a^{4}+8a^{3}
Use the distributive property to multiply -8a^{2}-4a+8 by a^{3}.
\left(a^{2}+\frac{1}{2}a-1\right)\left(-2\right)^{3}a^{3}
Expand \left(-2a\right)^{3}.
\left(a^{2}+\frac{1}{2}a-1\right)\left(-8\right)a^{3}
Calculate -2 to the power of 3 and get -8.
\left(-8a^{2}-4a+8\right)a^{3}
Use the distributive property to multiply a^{2}+\frac{1}{2}a-1 by -8.
-8a^{5}-4a^{4}+8a^{3}
Use the distributive property to multiply -8a^{2}-4a+8 by a^{3}.
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}