a - [ - ( b - c ) + 2 ( a - c ) + 2 ( b - 2 ) )
Evaluate
4+c-b-a
Expand
4+c-b-a
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a-\left(-b-\left(-c\right)+2\left(a-c\right)+2\left(b-2\right)\right)
To find the opposite of b-c, find the opposite of each term.
a-\left(-b+c+2\left(a-c\right)+2\left(b-2\right)\right)
The opposite of -c is c.
a-\left(-b+c+2a-2c+2\left(b-2\right)\right)
Use the distributive property to multiply 2 by a-c.
a-\left(-b-c+2a+2\left(b-2\right)\right)
Combine c and -2c to get -c.
a-\left(-b-c+2a+2b-4\right)
Use the distributive property to multiply 2 by b-2.
a-\left(b-c+2a-4\right)
Combine -b and 2b to get b.
a-b-\left(-c\right)-2a-\left(-4\right)
To find the opposite of b-c+2a-4, find the opposite of each term.
a-b+c-2a-\left(-4\right)
The opposite of -c is c.
a-b+c-2a+4
The opposite of -4 is 4.
-a-b+c+4
Combine a and -2a to get -a.
a-\left(-b-\left(-c\right)+2\left(a-c\right)+2\left(b-2\right)\right)
To find the opposite of b-c, find the opposite of each term.
a-\left(-b+c+2\left(a-c\right)+2\left(b-2\right)\right)
The opposite of -c is c.
a-\left(-b+c+2a-2c+2\left(b-2\right)\right)
Use the distributive property to multiply 2 by a-c.
a-\left(-b-c+2a+2\left(b-2\right)\right)
Combine c and -2c to get -c.
a-\left(-b-c+2a+2b-4\right)
Use the distributive property to multiply 2 by b-2.
a-\left(b-c+2a-4\right)
Combine -b and 2b to get b.
a-b-\left(-c\right)-2a-\left(-4\right)
To find the opposite of b-c+2a-4, find the opposite of each term.
a-b+c-2a-\left(-4\right)
The opposite of -c is c.
a-b+c-2a+4
The opposite of -4 is 4.
-a-b+c+4
Combine a and -2a to get -a.
Examples
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{ 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}