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