Evaluate
6x^{2}\left(4x^{4}+3x^{3}+6x-5\right)
Expand
24x^{6}+18x^{5}+36x^{3}-30x^{2}
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18x^{5}-30x^{2}+\left(2x^{3}+3\right)\times 12x^{3}
Use the distributive property to multiply 6x^{2} by 3x^{3}-5.
18x^{5}-30x^{2}+\left(24x^{3}+36\right)x^{3}
Use the distributive property to multiply 2x^{3}+3 by 12.
18x^{5}-30x^{2}+24x^{6}+36x^{3}
Use the distributive property to multiply 24x^{3}+36 by x^{3}.
18x^{5}-30x^{2}+\left(2x^{3}+3\right)\times 12x^{3}
Use the distributive property to multiply 6x^{2} by 3x^{3}-5.
18x^{5}-30x^{2}+\left(24x^{3}+36\right)x^{3}
Use the distributive property to multiply 2x^{3}+3 by 12.
18x^{5}-30x^{2}+24x^{6}+36x^{3}
Use the distributive property to multiply 24x^{3}+36 by x^{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}