(8x-4y+5z)-(-3x+6y+8z=
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11x-10y-3z
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11x-10y-3z
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8x-4y+5z-\left(-3x\right)-6y-8z
To find the opposite of -3x+6y+8z, find the opposite of each term.
8x-4y+5z+3x-6y-8z
The opposite of -3x is 3x.
11x-4y+5z-6y-8z
Combine 8x and 3x to get 11x.
11x-10y+5z-8z
Combine -4y and -6y to get -10y.
11x-10y-3z
Combine 5z and -8z to get -3z.
8x-4y+5z-\left(-3x\right)-6y-8z
To find the opposite of -3x+6y+8z, find the opposite of each term.
8x-4y+5z+3x-6y-8z
The opposite of -3x is 3x.
11x-4y+5z-6y-8z
Combine 8x and 3x to get 11x.
11x-10y+5z-8z
Combine -4y and -6y to get -10y.
11x-10y-3z
Combine 5z and -8z to get -3z.
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}