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8\left(a+x-ax\right)
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8a+8x-8ax
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4x^{2}+4x-\left(x+2a\right)\left(4x-4\right)
Use the distributive property to multiply 4x by x+1.
4x^{2}+4x-\left(4x^{2}-4x+8ax-8a\right)
Apply the distributive property by multiplying each term of x+2a by each term of 4x-4.
4x^{2}+4x-4x^{2}-\left(-4x\right)-8ax-\left(-8a\right)
To find the opposite of 4x^{2}-4x+8ax-8a, find the opposite of each term.
4x^{2}+4x-4x^{2}+4x-8ax-\left(-8a\right)
The opposite of -4x is 4x.
4x^{2}+4x-4x^{2}+4x-8ax+8a
The opposite of -8a is 8a.
4x+4x-8ax+8a
Combine 4x^{2} and -4x^{2} to get 0.
8x-8ax+8a
Combine 4x and 4x to get 8x.
4x^{2}+4x-\left(x+2a\right)\left(4x-4\right)
Use the distributive property to multiply 4x by x+1.
4x^{2}+4x-\left(4x^{2}-4x+8ax-8a\right)
Apply the distributive property by multiplying each term of x+2a by each term of 4x-4.
4x^{2}+4x-4x^{2}-\left(-4x\right)-8ax-\left(-8a\right)
To find the opposite of 4x^{2}-4x+8ax-8a, find the opposite of each term.
4x^{2}+4x-4x^{2}+4x-8ax-\left(-8a\right)
The opposite of -4x is 4x.
4x^{2}+4x-4x^{2}+4x-8ax+8a
The opposite of -8a is 8a.
4x+4x-8ax+8a
Combine 4x^{2} and -4x^{2} to get 0.
8x-8ax+8a
Combine 4x and 4x to get 8x.
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}