Evaluate
\left(x^{2}-5x+1\right)\left(x-2\right)^{3}
Expand
x^{5}-11x^{4}+43x^{3}-74x^{2}+52x-8
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\left(x^{2}-4x+4\right)\left(x^{3}-7x^{2}+11x-2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{5}-11x^{4}+43x^{3}-74x^{2}+52x-8
Use the distributive property to multiply x^{2}-4x+4 by x^{3}-7x^{2}+11x-2 and combine like terms.
\left(x^{2}-4x+4\right)\left(x^{3}-7x^{2}+11x-2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{5}-11x^{4}+43x^{3}-74x^{2}+52x-8
Use the distributive property to multiply x^{2}-4x+4 by x^{3}-7x^{2}+11x-2 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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