( 5 a + 3 c ) - ( 3 b - 1 a - 8 c ) - ( 12 a - 40
Evaluate
40+11c-3b-6a
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40+11c-3b-6a
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5a+3c-3b-\left(-a\right)-\left(-8c\right)-\left(12a-40\right)
To find the opposite of 3b-a-8c, find the opposite of each term.
5a+3c-3b+a-\left(-8c\right)-\left(12a-40\right)
The opposite of -a is a.
5a+3c-3b+a+8c-\left(12a-40\right)
The opposite of -8c is 8c.
6a+3c-3b+8c-\left(12a-40\right)
Combine 5a and a to get 6a.
6a+11c-3b-\left(12a-40\right)
Combine 3c and 8c to get 11c.
6a+11c-3b-12a-\left(-40\right)
To find the opposite of 12a-40, find the opposite of each term.
6a+11c-3b-12a+40
The opposite of -40 is 40.
-6a+11c-3b+40
Combine 6a and -12a to get -6a.
5a+3c-3b-\left(-a\right)-\left(-8c\right)-\left(12a-40\right)
To find the opposite of 3b-a-8c, find the opposite of each term.
5a+3c-3b+a-\left(-8c\right)-\left(12a-40\right)
The opposite of -a is a.
5a+3c-3b+a+8c-\left(12a-40\right)
The opposite of -8c is 8c.
6a+3c-3b+8c-\left(12a-40\right)
Combine 5a and a to get 6a.
6a+11c-3b-\left(12a-40\right)
Combine 3c and 8c to get 11c.
6a+11c-3b-12a-\left(-40\right)
To find the opposite of 12a-40, find the opposite of each term.
6a+11c-3b-12a+40
The opposite of -40 is 40.
-6a+11c-3b+40
Combine 6a and -12a to get -6a.
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
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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}