Evaluate
2a\left(2a-1\right)\left(3a+1\right)
Expand
12a^{3}-2a^{2}-2a
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4a^{2}-2a+\left(a-2a^{2}\right)\left(-6\right)a
Use the distributive property to multiply 2a by 2a-1.
4a^{2}-2a+\left(-6a+12a^{2}\right)a
Use the distributive property to multiply a-2a^{2} by -6.
4a^{2}-2a-6a^{2}+12a^{3}
Use the distributive property to multiply -6a+12a^{2} by a.
-2a^{2}-2a+12a^{3}
Combine 4a^{2} and -6a^{2} to get -2a^{2}.
4a^{2}-2a+\left(a-2a^{2}\right)\left(-6\right)a
Use the distributive property to multiply 2a by 2a-1.
4a^{2}-2a+\left(-6a+12a^{2}\right)a
Use the distributive property to multiply a-2a^{2} by -6.
4a^{2}-2a-6a^{2}+12a^{3}
Use the distributive property to multiply -6a+12a^{2} by a.
-2a^{2}-2a+12a^{3}
Combine 4a^{2} and -6a^{2} to get -2a^{2}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}