Factor
4x^{2}\left(5x^{2}-21\right)
Evaluate
20x^{4}-84x^{2}
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4\left(2x^{4}+3x^{4}-21x^{2}\right)
Factor out 4.
x^{2}\left(2x^{2}+3x^{2}-21\right)
Consider 2x^{4}+3x^{4}-21x^{2}. Factor out x^{2}.
4x^{2}\left(5x^{2}-21\right)
Rewrite the complete factored expression. Polynomial 5x^{2}-21 is not factored since it does not have any rational roots.
20x^{4}-84x^{2}
Combine 8x^{4} and 12x^{4} to get 20x^{4}.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
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Limits
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