Factor
\left(-7z^{4}-6\right)\left(7z^{4}-6\right)
Evaluate
36-49z^{8}
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\left(6-7z^{4}\right)\left(6+7z^{4}\right)
Rewrite 36-49z^{8} as 6^{2}-\left(7z^{4}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-7z^{4}+6\right)\left(7z^{4}+6\right)
Reorder the terms. The following polynomials are not factored since they do not have any rational roots: -7z^{4}+6,7z^{4}+6.
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
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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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