a - 1 - ( b - c ) + 2 ( a - c + 2 ( b + a )
Evaluate
7a+3b-c-1
Expand
7a+3b-c-1
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a-1-b-\left(-c\right)+2\left(a-c+2\left(b+a\right)\right)
To find the opposite of b-c, find the opposite of each term.
a-1-b+c+2\left(a-c+2\left(b+a\right)\right)
The opposite of -c is c.
a-1-b+c+2\left(a-c+2b+2a\right)
Use the distributive property to multiply 2 by b+a.
a-1-b+c+2\left(3a-c+2b\right)
Combine a and 2a to get 3a.
a-1-b+c+6a-2c+4b
Use the distributive property to multiply 2 by 3a-c+2b.
7a-1-b+c-2c+4b
Combine a and 6a to get 7a.
7a-1-b-c+4b
Combine c and -2c to get -c.
7a-1+3b-c
Combine -b and 4b to get 3b.
a-1-b-\left(-c\right)+2\left(a-c+2\left(b+a\right)\right)
To find the opposite of b-c, find the opposite of each term.
a-1-b+c+2\left(a-c+2\left(b+a\right)\right)
The opposite of -c is c.
a-1-b+c+2\left(a-c+2b+2a\right)
Use the distributive property to multiply 2 by b+a.
a-1-b+c+2\left(3a-c+2b\right)
Combine a and 2a to get 3a.
a-1-b+c+6a-2c+4b
Use the distributive property to multiply 2 by 3a-c+2b.
7a-1-b+c-2c+4b
Combine a and 6a to get 7a.
7a-1-b-c+4b
Combine c and -2c to get -c.
7a-1+3b-c
Combine -b and 4b to get 3b.
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}