Evaluate
-b\left(a+2b\right)
Expand
-ab-2b^{2}
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2a^{2}-4ab+ba-2b^{2}+2a\left(b-a\right)
Apply the distributive property by multiplying each term of 2a+b by each term of a-2b.
2a^{2}-3ab-2b^{2}+2a\left(b-a\right)
Combine -4ab and ba to get -3ab.
2a^{2}-3ab-2b^{2}+2ab-2a^{2}
Use the distributive property to multiply 2a by b-a.
2a^{2}-ab-2b^{2}-2a^{2}
Combine -3ab and 2ab to get -ab.
-ab-2b^{2}
Combine 2a^{2} and -2a^{2} to get 0.
2a^{2}-4ab+ba-2b^{2}+2a\left(b-a\right)
Apply the distributive property by multiplying each term of 2a+b by each term of a-2b.
2a^{2}-3ab-2b^{2}+2a\left(b-a\right)
Combine -4ab and ba to get -3ab.
2a^{2}-3ab-2b^{2}+2ab-2a^{2}
Use the distributive property to multiply 2a by b-a.
2a^{2}-ab-2b^{2}-2a^{2}
Combine -3ab and 2ab to get -ab.
-ab-2b^{2}
Combine 2a^{2} and -2a^{2} to get 0.
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}