Evaluate
18x^{2}+6
Factor
6\left(3x^{2}+1\right)
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6+8x+9x^{2}+9x^{3}-8x+9x^{2}-9x^{3}
Add 3 and 3 to get 6.
6+9x^{2}+9x^{3}+9x^{2}-9x^{3}
Combine 8x and -8x to get 0.
6+18x^{2}+9x^{3}-9x^{3}
Combine 9x^{2} and 9x^{2} to get 18x^{2}.
6+18x^{2}
Combine 9x^{3} and -9x^{3} to get 0.
18x^{2}+6
Multiply and combine like terms.
6\left(3x^{2}+1\right)
Factor out 6. Polynomial 3x^{2}+1 is not factored since it does not have any rational roots.
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
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
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Limits
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