Evaluate
a^{2}-4a+12
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a^{2}-4a+12
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a+3+a^{2}-4a-2a+8+a+1
Apply the distributive property by multiplying each term of a-2 by each term of a-4.
a+3+a^{2}-6a+8+a+1
Combine -4a and -2a to get -6a.
-5a+3+a^{2}+8+a+1
Combine a and -6a to get -5a.
-5a+11+a^{2}+a+1
Add 3 and 8 to get 11.
-4a+11+a^{2}+1
Combine -5a and a to get -4a.
-4a+12+a^{2}
Add 11 and 1 to get 12.
a+3+a^{2}-4a-2a+8+a+1
Apply the distributive property by multiplying each term of a-2 by each term of a-4.
a+3+a^{2}-6a+8+a+1
Combine -4a and -2a to get -6a.
-5a+3+a^{2}+8+a+1
Combine a and -6a to get -5a.
-5a+11+a^{2}+a+1
Add 3 and 8 to get 11.
-4a+11+a^{2}+1
Combine -5a and a to get -4a.
-4a+12+a^{2}
Add 11 and 1 to get 12.
Examples
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{ 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}