Factor
\left(7t^{4}-5x^{5}\right)\left(5x^{5}+7t^{4}\right)
Evaluate
49t^{8}-25x^{10}
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\left(7t^{4}-5x^{5}\right)\left(7t^{4}+5x^{5}\right)
Rewrite 49t^{8}-25x^{10} as \left(7t^{4}\right)^{2}-\left(5x^{5}\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(-5x^{5}+7t^{4}\right)\left(5x^{5}+7t^{4}\right)
Reorder the terms.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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