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7a+11b+2
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7a+11b+2
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2+3a-5b+4\left(-2a+3b-\left(-3a-b\right)\right)
The opposite of -3a is 3a.
2+3a-5b+4\left(-2a+3b-\left(-3a\right)-\left(-b\right)\right)
To find the opposite of -3a-b, find the opposite of each term.
2+3a-5b+4\left(-2a+3b+3a-\left(-b\right)\right)
The opposite of -3a is 3a.
2+3a-5b+4\left(-2a+3b+3a+b\right)
The opposite of -b is b.
2+3a-5b+4\left(a+3b+b\right)
Combine -2a and 3a to get a.
2+3a-5b+4\left(a+4b\right)
Combine 3b and b to get 4b.
2+3a-5b+4a+16b
Use the distributive property to multiply 4 by a+4b.
2+7a-5b+16b
Combine 3a and 4a to get 7a.
2+7a+11b
Combine -5b and 16b to get 11b.
2+3a-5b+4\left(-2a+3b-\left(-3a-b\right)\right)
The opposite of -3a is 3a.
2+3a-5b+4\left(-2a+3b-\left(-3a\right)-\left(-b\right)\right)
To find the opposite of -3a-b, find the opposite of each term.
2+3a-5b+4\left(-2a+3b+3a-\left(-b\right)\right)
The opposite of -3a is 3a.
2+3a-5b+4\left(-2a+3b+3a+b\right)
The opposite of -b is b.
2+3a-5b+4\left(a+3b+b\right)
Combine -2a and 3a to get a.
2+3a-5b+4\left(a+4b\right)
Combine 3b and b to get 4b.
2+3a-5b+4a+16b
Use the distributive property to multiply 4 by a+4b.
2+7a-5b+16b
Combine 3a and 4a to get 7a.
2+7a+11b
Combine -5b and 16b to get 11b.
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}