Evaluate
8x^{2}+12
Factor
4\left(2x^{2}+3\right)
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0x^{3}+8x^{2}+9+3
Multiply 0 and 6 to get 0.
0+8x^{2}+9+3
Anything times zero gives zero.
9+8x^{2}+3
Add 0 and 9 to get 9.
12+8x^{2}
Add 9 and 3 to get 12.
8x^{2}+12
Multiply and combine like terms.
4\left(2x^{2}+3\right)
Factor out 4. Polynomial 2x^{2}+3 is not factored since it does not have any rational roots.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}