Evaluate
n\left(4n^{3}+3n+15\right)
Expand
4n^{4}+3n^{2}+15n
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4n^{2}+7n-n^{4}-n^{2}+8n+5n^{4}
To find the opposite of n^{2}-8n-5n^{4}, find the opposite of each term.
3n^{2}+7n-n^{4}+8n+5n^{4}
Combine 4n^{2} and -n^{2} to get 3n^{2}.
3n^{2}+15n-n^{4}+5n^{4}
Combine 7n and 8n to get 15n.
3n^{2}+15n+4n^{4}
Combine -n^{4} and 5n^{4} to get 4n^{4}.
4n^{2}+7n-n^{4}-n^{2}+8n+5n^{4}
To find the opposite of n^{2}-8n-5n^{4}, find the opposite of each term.
3n^{2}+7n-n^{4}+8n+5n^{4}
Combine 4n^{2} and -n^{2} to get 3n^{2}.
3n^{2}+15n-n^{4}+5n^{4}
Combine 7n and 8n to get 15n.
3n^{2}+15n+4n^{4}
Combine -n^{4} and 5n^{4} to get 4n^{4}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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 ) }
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Limits
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