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-x-8a
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2\left(8x^{2}+4xa-2x-a-8x^{2}\right)-4x\left(2a-1\right)-3\left(\frac{1}{3}x+2a\right)
Use the distributive property to multiply 4x-1 by 2x+a.
2\left(4xa-2x-a\right)-4x\left(2a-1\right)-3\left(\frac{1}{3}x+2a\right)
Combine 8x^{2} and -8x^{2} to get 0.
8xa-4x-2a-4x\left(2a-1\right)-3\left(\frac{1}{3}x+2a\right)
Use the distributive property to multiply 2 by 4xa-2x-a.
8xa-4x-2a-4x\left(2a-1\right)-x-6a
Use the distributive property to multiply -3 by \frac{1}{3}x+2a.
8xa-4x-2a-8xa+4x-x-6a
Use the distributive property to multiply -4x by 2a-1.
-4x-2a+4x-x-6a
Combine 8xa and -8xa to get 0.
-2a-x-6a
Combine -4x and 4x to get 0.
-8a-x
Combine -2a and -6a to get -8a.
2\left(8x^{2}+4xa-2x-a-8x^{2}\right)-4x\left(2a-1\right)-3\left(\frac{1}{3}x+2a\right)
Use the distributive property to multiply 4x-1 by 2x+a.
2\left(4xa-2x-a\right)-4x\left(2a-1\right)-3\left(\frac{1}{3}x+2a\right)
Combine 8x^{2} and -8x^{2} to get 0.
8xa-4x-2a-4x\left(2a-1\right)-3\left(\frac{1}{3}x+2a\right)
Use the distributive property to multiply 2 by 4xa-2x-a.
8xa-4x-2a-4x\left(2a-1\right)-x-6a
Use the distributive property to multiply -3 by \frac{1}{3}x+2a.
8xa-4x-2a-8xa+4x-x-6a
Use the distributive property to multiply -4x by 2a-1.
-4x-2a+4x-x-6a
Combine 8xa and -8xa to get 0.
-2a-x-6a
Combine -4x and 4x to get 0.
-8a-x
Combine -2a and -6a to get -8a.
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}