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7a-19b-2
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7a-19b-2
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8-10a-3b-\left(9-\left(14a-7b\right)-\left(3a-9b-1\right)\right)
To find the opposite of 10a+3b, find the opposite of each term.
8-10a-3b-\left(9-14a-\left(-7b\right)-\left(3a-9b-1\right)\right)
To find the opposite of 14a-7b, find the opposite of each term.
8-10a-3b-\left(9-14a+7b-\left(3a-9b-1\right)\right)
The opposite of -7b is 7b.
8-10a-3b-\left(9-14a+7b-3a-\left(-9b\right)-\left(-1\right)\right)
To find the opposite of 3a-9b-1, find the opposite of each term.
8-10a-3b-\left(9-14a+7b-3a+9b-\left(-1\right)\right)
The opposite of -9b is 9b.
8-10a-3b-\left(9-14a+7b-3a+9b+1\right)
The opposite of -1 is 1.
8-10a-3b-\left(9-17a+7b+9b+1\right)
Combine -14a and -3a to get -17a.
8-10a-3b-\left(9-17a+16b+1\right)
Combine 7b and 9b to get 16b.
8-10a-3b-\left(10-17a+16b\right)
Add 9 and 1 to get 10.
8-10a-3b-10-\left(-17a\right)-16b
To find the opposite of 10-17a+16b, find the opposite of each term.
8-10a-3b-10+17a-16b
The opposite of -17a is 17a.
-2-10a-3b+17a-16b
Subtract 10 from 8 to get -2.
-2+7a-3b-16b
Combine -10a and 17a to get 7a.
-2+7a-19b
Combine -3b and -16b to get -19b.
8-10a-3b-\left(9-\left(14a-7b\right)-\left(3a-9b-1\right)\right)
To find the opposite of 10a+3b, find the opposite of each term.
8-10a-3b-\left(9-14a-\left(-7b\right)-\left(3a-9b-1\right)\right)
To find the opposite of 14a-7b, find the opposite of each term.
8-10a-3b-\left(9-14a+7b-\left(3a-9b-1\right)\right)
The opposite of -7b is 7b.
8-10a-3b-\left(9-14a+7b-3a-\left(-9b\right)-\left(-1\right)\right)
To find the opposite of 3a-9b-1, find the opposite of each term.
8-10a-3b-\left(9-14a+7b-3a+9b-\left(-1\right)\right)
The opposite of -9b is 9b.
8-10a-3b-\left(9-14a+7b-3a+9b+1\right)
The opposite of -1 is 1.
8-10a-3b-\left(9-17a+7b+9b+1\right)
Combine -14a and -3a to get -17a.
8-10a-3b-\left(9-17a+16b+1\right)
Combine 7b and 9b to get 16b.
8-10a-3b-\left(10-17a+16b\right)
Add 9 and 1 to get 10.
8-10a-3b-10-\left(-17a\right)-16b
To find the opposite of 10-17a+16b, find the opposite of each term.
8-10a-3b-10+17a-16b
The opposite of -17a is 17a.
-2-10a-3b+17a-16b
Subtract 10 from 8 to get -2.
-2+7a-3b-16b
Combine -10a and 17a to get 7a.
-2+7a-19b
Combine -3b and -16b to get -19b.
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}