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s-10r
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s-10r
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-2r+5s-3s-2r-\left(s+r+5r\right)
To find the opposite of 3s+2r, find the opposite of each term.
-2r+2s-2r-\left(s+r+5r\right)
Combine 5s and -3s to get 2s.
-4r+2s-\left(s+r+5r\right)
Combine -2r and -2r to get -4r.
-4r+2s-\left(s+6r\right)
Combine r and 5r to get 6r.
-4r+2s-s-6r
To find the opposite of s+6r, find the opposite of each term.
-4r+s-6r
Combine 2s and -s to get s.
-10r+s
Combine -4r and -6r to get -10r.
-2r+5s-3s-2r-\left(s+r+5r\right)
To find the opposite of 3s+2r, find the opposite of each term.
-2r+2s-2r-\left(s+r+5r\right)
Combine 5s and -3s to get 2s.
-4r+2s-\left(s+r+5r\right)
Combine -2r and -2r to get -4r.
-4r+2s-\left(s+6r\right)
Combine r and 5r to get 6r.
-4r+2s-s-6r
To find the opposite of s+6r, find the opposite of each term.
-4r+s-6r
Combine 2s and -s to get s.
-10r+s
Combine -4r and -6r to get -10r.
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}