Factor
\frac{\left(2x^{2}-1\right)\left(2x^{2}+1\right)}{4}
Evaluate
x^{4}-\frac{1}{4}
Graph
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\frac{4x^{4}-1}{4}
Factor out \frac{1}{4}.
\left(2x^{2}-1\right)\left(2x^{2}+1\right)
Consider 4x^{4}-1. Rewrite 4x^{4}-1 as \left(2x^{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).
\frac{\left(2x^{2}-1\right)\left(2x^{2}+1\right)}{4}
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: 2x^{2}-1,2x^{2}+1.
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
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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
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Limits
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