\frac{ 2 }{ } (a+2ah+2a+ { h }^{ 2 } +2h+1)
Evaluate
2\left(2ah+\left(h+1\right)^{2}+3a\right)
Expand
4ah+6a+2h^{2}+4h+2
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2\left(a+2ah+2a+h^{2}+2h+1\right)
Anything divided by one gives itself.
2\left(3a+2ah+h^{2}+2h+1\right)
Combine a and 2a to get 3a.
6a+4ah+2h^{2}+4h+2
Use the distributive property to multiply 2 by 3a+2ah+h^{2}+2h+1.
2\left(a+2ah+2a+h^{2}+2h+1\right)
Anything divided by one gives itself.
2\left(3a+2ah+h^{2}+2h+1\right)
Combine a and 2a to get 3a.
6a+4ah+2h^{2}+4h+2
Use the distributive property to multiply 2 by 3a+2ah+h^{2}+2h+1.
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}