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4a-10b
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4a-10b
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6a-2\left(7b-4a-3b\right)+2\left(2a-b-7a\right)
To find the opposite of 4a+3b, find the opposite of each term.
6a-2\left(4b-4a\right)+2\left(2a-b-7a\right)
Combine 7b and -3b to get 4b.
6a-8b+8a+2\left(2a-b-7a\right)
Use the distributive property to multiply -2 by 4b-4a.
14a-8b+2\left(2a-b-7a\right)
Combine 6a and 8a to get 14a.
14a-8b+2\left(-5a-b\right)
Combine 2a and -7a to get -5a.
14a-8b-10a-2b
Use the distributive property to multiply 2 by -5a-b.
4a-8b-2b
Combine 14a and -10a to get 4a.
4a-10b
Combine -8b and -2b to get -10b.
6a-2\left(7b-4a-3b\right)+2\left(2a-b-7a\right)
To find the opposite of 4a+3b, find the opposite of each term.
6a-2\left(4b-4a\right)+2\left(2a-b-7a\right)
Combine 7b and -3b to get 4b.
6a-8b+8a+2\left(2a-b-7a\right)
Use the distributive property to multiply -2 by 4b-4a.
14a-8b+2\left(2a-b-7a\right)
Combine 6a and 8a to get 14a.
14a-8b+2\left(-5a-b\right)
Combine 2a and -7a to get -5a.
14a-8b-10a-2b
Use the distributive property to multiply 2 by -5a-b.
4a-8b-2b
Combine 14a and -10a to get 4a.
4a-10b
Combine -8b and -2b to get -10b.
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}