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-18a+16b-10
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-18a+16b-10
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10-4a-\left(-b\right)-5\left(a+3\right)+7b-9a+8b-5
To find the opposite of 4a-b, find the opposite of each term.
10-4a+b-5\left(a+3\right)+7b-9a+8b-5
The opposite of -b is b.
10-4a+b-5a-15+7b-9a+8b-5
Use the distributive property to multiply -5 by a+3.
10-9a+b-15+7b-9a+8b-5
Combine -4a and -5a to get -9a.
-5-9a+b+7b-9a+8b-5
Subtract 15 from 10 to get -5.
-5-9a+8b-9a+8b-5
Combine b and 7b to get 8b.
-5-18a+8b+8b-5
Combine -9a and -9a to get -18a.
-5-18a+16b-5
Combine 8b and 8b to get 16b.
-10-18a+16b
Subtract 5 from -5 to get -10.
10-4a-\left(-b\right)-5\left(a+3\right)+7b-9a+8b-5
To find the opposite of 4a-b, find the opposite of each term.
10-4a+b-5\left(a+3\right)+7b-9a+8b-5
The opposite of -b is b.
10-4a+b-5a-15+7b-9a+8b-5
Use the distributive property to multiply -5 by a+3.
10-9a+b-15+7b-9a+8b-5
Combine -4a and -5a to get -9a.
-5-9a+b+7b-9a+8b-5
Subtract 15 from 10 to get -5.
-5-9a+8b-9a+8b-5
Combine b and 7b to get 8b.
-5-18a+8b+8b-5
Combine -9a and -9a to get -18a.
-5-18a+16b-5
Combine 8b and 8b to get 16b.
-10-18a+16b
Subtract 5 from -5 to get -10.
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}