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8x-2y+6
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8x-2y+6
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6x+9+2y-\left(x+2y+3-\left(3x-2y\right)\right)
Use the distributive property to multiply 3 by 2x+3.
6x+9+2y-\left(x+2y+3-3x-\left(-2y\right)\right)
To find the opposite of 3x-2y, find the opposite of each term.
6x+9+2y-\left(x+2y+3-3x+2y\right)
The opposite of -2y is 2y.
6x+9+2y-\left(-2x+2y+3+2y\right)
Combine x and -3x to get -2x.
6x+9+2y-\left(-2x+4y+3\right)
Combine 2y and 2y to get 4y.
6x+9+2y-\left(-2x\right)-4y-3
To find the opposite of -2x+4y+3, find the opposite of each term.
6x+9+2y+2x-4y-3
The opposite of -2x is 2x.
8x+9+2y-4y-3
Combine 6x and 2x to get 8x.
8x+9-2y-3
Combine 2y and -4y to get -2y.
8x+6-2y
Subtract 3 from 9 to get 6.
6x+9+2y-\left(x+2y+3-\left(3x-2y\right)\right)
Use the distributive property to multiply 3 by 2x+3.
6x+9+2y-\left(x+2y+3-3x-\left(-2y\right)\right)
To find the opposite of 3x-2y, find the opposite of each term.
6x+9+2y-\left(x+2y+3-3x+2y\right)
The opposite of -2y is 2y.
6x+9+2y-\left(-2x+2y+3+2y\right)
Combine x and -3x to get -2x.
6x+9+2y-\left(-2x+4y+3\right)
Combine 2y and 2y to get 4y.
6x+9+2y-\left(-2x\right)-4y-3
To find the opposite of -2x+4y+3, find the opposite of each term.
6x+9+2y+2x-4y-3
The opposite of -2x is 2x.
8x+9+2y-4y-3
Combine 6x and 2x to get 8x.
8x+9-2y-3
Combine 2y and -4y to get -2y.
8x+6-2y
Subtract 3 from 9 to get 6.
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}