Evaluate
10\left(x+1\right)x^{4}\left(2x^{4}+2x^{3}+1\right)
Expand
20x^{9}+40x^{8}+20x^{7}+10x^{5}+10x^{4}
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20x^{9}+20x^{8}+20x^{7}\left(x+1\right)+10x^{4}\left(x+1\right)
Use the distributive property to multiply 20x^{8} by x+1.
20x^{9}+20x^{8}+20x^{8}+20x^{7}+10x^{4}\left(x+1\right)
Use the distributive property to multiply 20x^{7} by x+1.
20x^{9}+40x^{8}+20x^{7}+10x^{4}\left(x+1\right)
Combine 20x^{8} and 20x^{8} to get 40x^{8}.
20x^{9}+40x^{8}+20x^{7}+10x^{5}+10x^{4}
Use the distributive property to multiply 10x^{4} by x+1.
20x^{9}+20x^{8}+20x^{7}\left(x+1\right)+10x^{4}\left(x+1\right)
Use the distributive property to multiply 20x^{8} by x+1.
20x^{9}+20x^{8}+20x^{8}+20x^{7}+10x^{4}\left(x+1\right)
Use the distributive property to multiply 20x^{7} by x+1.
20x^{9}+40x^{8}+20x^{7}+10x^{4}\left(x+1\right)
Combine 20x^{8} and 20x^{8} to get 40x^{8}.
20x^{9}+40x^{8}+20x^{7}+10x^{5}+10x^{4}
Use the distributive property to multiply 10x^{4} by x+1.
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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