2 ( a - 2 b + a ( a - 2 b ) + b ( a - 2 b ) =
Evaluate
2\left(a-2b\right)\left(a+b+1\right)
Expand
2a^{2}-2ab+2a-4b^{2}-4b
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2\left(a-2b+a^{2}-2ab+b\left(a-2b\right)\right)
Use the distributive property to multiply a by a-2b.
2\left(a-2b+a^{2}-2ab+ba-2b^{2}\right)
Use the distributive property to multiply b by a-2b.
2\left(a-2b+a^{2}-ab-2b^{2}\right)
Combine -2ab and ba to get -ab.
2a-4b+2a^{2}-2ab-4b^{2}
Use the distributive property to multiply 2 by a-2b+a^{2}-ab-2b^{2}.
2\left(a-2b+a^{2}-2ab+b\left(a-2b\right)\right)
Use the distributive property to multiply a by a-2b.
2\left(a-2b+a^{2}-2ab+ba-2b^{2}\right)
Use the distributive property to multiply b by a-2b.
2\left(a-2b+a^{2}-ab-2b^{2}\right)
Combine -2ab and ba to get -ab.
2a-4b+2a^{2}-2ab-4b^{2}
Use the distributive property to multiply 2 by a-2b+a^{2}-ab-2b^{2}.
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}