Evaluate
\left(3x+1\right)^{2}\left(x-2\right)^{3}
Expand
9x^{5}-48x^{4}+73x^{3}-6x^{2}-36x-8
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\left(x^{3}-6x^{2}+12x-8\right)\left(3x+1\right)^{2}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
\left(x^{3}-6x^{2}+12x-8\right)\left(9x^{2}+6x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
9x^{5}-48x^{4}+73x^{3}-6x^{2}-36x-8
Use the distributive property to multiply x^{3}-6x^{2}+12x-8 by 9x^{2}+6x+1 and combine like terms.
\left(x^{3}-6x^{2}+12x-8\right)\left(3x+1\right)^{2}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
\left(x^{3}-6x^{2}+12x-8\right)\left(9x^{2}+6x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
9x^{5}-48x^{4}+73x^{3}-6x^{2}-36x-8
Use the distributive property to multiply x^{3}-6x^{2}+12x-8 by 9x^{2}+6x+1 and combine like terms.
Examples
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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}