Evaluate
-18a^{3}
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-18a^{3}
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\left(-3\right)^{3}a^{3}+a\left(-3a\right)^{2}
Expand \left(-3a\right)^{3}.
-27a^{3}+a\left(-3a\right)^{2}
Calculate -3 to the power of 3 and get -27.
-27a^{3}+a\left(-3\right)^{2}a^{2}
Expand \left(-3a\right)^{2}.
-27a^{3}+a\times 9a^{2}
Calculate -3 to the power of 2 and get 9.
-27a^{3}+a^{3}\times 9
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
-18a^{3}
Combine -27a^{3} and a^{3}\times 9 to get -18a^{3}.
\left(-3\right)^{3}a^{3}+a\left(-3a\right)^{2}
Expand \left(-3a\right)^{3}.
-27a^{3}+a\left(-3a\right)^{2}
Calculate -3 to the power of 3 and get -27.
-27a^{3}+a\left(-3\right)^{2}a^{2}
Expand \left(-3a\right)^{2}.
-27a^{3}+a\times 9a^{2}
Calculate -3 to the power of 2 and get 9.
-27a^{3}+a^{3}\times 9
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
-18a^{3}
Combine -27a^{3} and a^{3}\times 9 to get -18a^{3}.
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y = 3x + 4
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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}