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-4a+7b-3c
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-4a+7b-3c
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-3a+4b-c-\frac{3a-9b+6c}{3}
Divide each term of -15a+20b-5c by 5 to get -3a+4b-c.
-3a+4b-c-\left(a-3b+2c\right)
Divide each term of 3a-9b+6c by 3 to get a-3b+2c.
-3a+4b-c-a-\left(-3b\right)-2c
To find the opposite of a-3b+2c, find the opposite of each term.
-3a+4b-c-a+3b-2c
The opposite of -3b is 3b.
-4a+4b-c+3b-2c
Combine -3a and -a to get -4a.
-4a+7b-c-2c
Combine 4b and 3b to get 7b.
-4a+7b-3c
Combine -c and -2c to get -3c.
-3a+4b-c-\frac{3a-9b+6c}{3}
Divide each term of -15a+20b-5c by 5 to get -3a+4b-c.
-3a+4b-c-\left(a-3b+2c\right)
Divide each term of 3a-9b+6c by 3 to get a-3b+2c.
-3a+4b-c-a-\left(-3b\right)-2c
To find the opposite of a-3b+2c, find the opposite of each term.
-3a+4b-c-a+3b-2c
The opposite of -3b is 3b.
-4a+4b-c+3b-2c
Combine -3a and -a to get -4a.
-4a+7b-c-2c
Combine 4b and 3b to get 7b.
-4a+7b-3c
Combine -c and -2c to get -3c.
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}