Factor
x\left(2x-1\right)\left(2x+1\right)\left(4x^{2}+1\right)
Evaluate
x\left(16x^{4}-1\right)
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x\left(16x^{4}-1\right)
Factor out x.
\left(4x^{2}-1\right)\left(4x^{2}+1\right)
Consider 16x^{4}-1. Rewrite 16x^{4}-1 as \left(4x^{2}\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(2x-1\right)\left(2x+1\right)
Consider 4x^{2}-1. Rewrite 4x^{2}-1 as \left(2x\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x\left(2x-1\right)\left(2x+1\right)\left(4x^{2}+1\right)
Rewrite the complete factored expression. Polynomial 4x^{2}+1 is not factored since it does not have any rational roots.
Examples
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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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