Evaluate
3\left(x-2\right)^{3}
Expand
3x^{3}-18x^{2}+36x-24
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3\left(x-2\right)^{3}
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
3\left(x^{3}-6x^{2}+12x-8\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
3x^{3}-18x^{2}+36x-24
Use the distributive property to multiply 3 by x^{3}-6x^{2}+12x-8.
3\left(x-2\right)^{3}
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
3\left(x^{3}-6x^{2}+12x-8\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
3x^{3}-18x^{2}+36x-24
Use the distributive property to multiply 3 by x^{3}-6x^{2}+12x-8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
Arithmetic
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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
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Limits
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