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10-19a
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10-19a
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3a-2\left(3a-2\left(1-4a+4\right)+5\right)
Use the distributive property to multiply -4 by a-1.
3a-2\left(3a-2\left(5-4a\right)+5\right)
Add 1 and 4 to get 5.
3a-2\left(3a-10+8a+5\right)
Use the distributive property to multiply -2 by 5-4a.
3a-2\left(11a-10+5\right)
Combine 3a and 8a to get 11a.
3a-2\left(11a-5\right)
Add -10 and 5 to get -5.
3a-22a+10
Use the distributive property to multiply -2 by 11a-5.
-19a+10
Combine 3a and -22a to get -19a.
3a-2\left(3a-2\left(1-4a+4\right)+5\right)
Use the distributive property to multiply -4 by a-1.
3a-2\left(3a-2\left(5-4a\right)+5\right)
Add 1 and 4 to get 5.
3a-2\left(3a-10+8a+5\right)
Use the distributive property to multiply -2 by 5-4a.
3a-2\left(11a-10+5\right)
Combine 3a and 8a to get 11a.
3a-2\left(11a-5\right)
Add -10 and 5 to get -5.
3a-22a+10
Use the distributive property to multiply -2 by 11a-5.
-19a+10
Combine 3a and -22a to get -19a.
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}