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8-2a-3a^{2}+15a^{3}-30a^{4}
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8-2a-3a^{2}+15a^{3}-30a^{4}
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5a^{3}-20a^{4}-3a^{2}-10aa^{2}\left(a-1\right)-2a+8
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
5a^{3}-20a^{4}-3a^{2}-10a^{3}\left(a-1\right)-2a+8
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
5a^{3}-20a^{4}-3a^{2}-10a^{4}+10a^{3}-2a+8
Use the distributive property to multiply -10a^{3} by a-1.
5a^{3}-30a^{4}-3a^{2}+10a^{3}-2a+8
Combine -20a^{4} and -10a^{4} to get -30a^{4}.
15a^{3}-30a^{4}-3a^{2}-2a+8
Combine 5a^{3} and 10a^{3} to get 15a^{3}.
5a^{3}-20a^{4}-3a^{2}-10aa^{2}\left(a-1\right)-2a+8
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
5a^{3}-20a^{4}-3a^{2}-10a^{3}\left(a-1\right)-2a+8
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
5a^{3}-20a^{4}-3a^{2}-10a^{4}+10a^{3}-2a+8
Use the distributive property to multiply -10a^{3} by a-1.
5a^{3}-30a^{4}-3a^{2}+10a^{3}-2a+8
Combine -20a^{4} and -10a^{4} to get -30a^{4}.
15a^{3}-30a^{4}-3a^{2}-2a+8
Combine 5a^{3} and 10a^{3} to get 15a^{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}