( n ^ { 2 } + 2 n ^ { 3 } + 8 n ^ { 4 } ) - ( 8 n ^ { 2 } + n ^ { 3 } + 8 n ^ { 4 }
Evaluate
\left(n-7\right)n^{2}
Expand
n^{3}-7n^{2}
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n^{2}+2n^{3}+8n^{4}-8n^{2}-n^{3}-8n^{4}
To find the opposite of 8n^{2}+n^{3}+8n^{4}, find the opposite of each term.
-7n^{2}+2n^{3}+8n^{4}-n^{3}-8n^{4}
Combine n^{2} and -8n^{2} to get -7n^{2}.
-7n^{2}+n^{3}+8n^{4}-8n^{4}
Combine 2n^{3} and -n^{3} to get n^{3}.
-7n^{2}+n^{3}
Combine 8n^{4} and -8n^{4} to get 0.
n^{2}+2n^{3}+8n^{4}-8n^{2}-n^{3}-8n^{4}
To find the opposite of 8n^{2}+n^{3}+8n^{4}, find the opposite of each term.
-7n^{2}+2n^{3}+8n^{4}-n^{3}-8n^{4}
Combine n^{2} and -8n^{2} to get -7n^{2}.
-7n^{2}+n^{3}+8n^{4}-8n^{4}
Combine 2n^{3} and -n^{3} to get n^{3}.
-7n^{2}+n^{3}
Combine 8n^{4} and -8n^{4} to get 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}