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-8s
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-8s
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2r+5s-9s-6r-\left(4s+r\right)+5r
Use the distributive property to multiply -3 by 3s+2r.
2r-4s-6r-\left(4s+r\right)+5r
Combine 5s and -9s to get -4s.
-4r-4s-\left(4s+r\right)+5r
Combine 2r and -6r to get -4r.
-4r-4s-4s-r+5r
To find the opposite of 4s+r, find the opposite of each term.
-4r-8s-r+5r
Combine -4s and -4s to get -8s.
-5r-8s+5r
Combine -4r and -r to get -5r.
-8s
Combine -5r and 5r to get 0.
2r+5s-9s-6r-\left(4s+r\right)+5r
Use the distributive property to multiply -3 by 3s+2r.
2r-4s-6r-\left(4s+r\right)+5r
Combine 5s and -9s to get -4s.
-4r-4s-\left(4s+r\right)+5r
Combine 2r and -6r to get -4r.
-4r-4s-4s-r+5r
To find the opposite of 4s+r, find the opposite of each term.
-4r-8s-r+5r
Combine -4s and -4s to get -8s.
-5r-8s+5r
Combine -4r and -r to get -5r.
-8s
Combine -5r and 5r 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}