Evaluate
\frac{5n\left(n+2a-1\right)}{h}
Expand
\frac{5\left(n^{2}+2an-n\right)}{h}
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\frac{-1-5a+5a^{2}-5n+10an+5n^{2}-5a^{2}+5a+1}{h}
To find the opposite of 5a^{2}-5a-1, find the opposite of each term.
\frac{-1-5a-5n+10an+5n^{2}+5a+1}{h}
Combine 5a^{2} and -5a^{2} to get 0.
\frac{-1-5n+10an+5n^{2}+1}{h}
Combine -5a and 5a to get 0.
\frac{-5n+10an+5n^{2}}{h}
Add -1 and 1 to get 0.
\frac{-1-5a+5a^{2}-5n+10an+5n^{2}-5a^{2}+5a+1}{h}
To find the opposite of 5a^{2}-5a-1, find the opposite of each term.
\frac{-1-5a-5n+10an+5n^{2}+5a+1}{h}
Combine 5a^{2} and -5a^{2} to get 0.
\frac{-1-5n+10an+5n^{2}+1}{h}
Combine -5a and 5a to get 0.
\frac{-5n+10an+5n^{2}}{h}
Add -1 and 1 to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}