Evaluate
10x^{2}+22x+16
Factor
2\left(5x^{2}+11x+8\right)
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10x^{2}+7x+15x+8+8
Combine 6x^{2} and 4x^{2} to get 10x^{2}.
10x^{2}+22x+8+8
Combine 7x and 15x to get 22x.
10x^{2}+22x+16
Add 8 and 8 to get 16.
10x^{2}+22x+16
Multiply and combine like terms.
2\left(5x^{2}+11x+8\right)
Factor out 2. Polynomial 5x^{2}+11x+8 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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y = 3x + 4
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Matrix
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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
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