Evaluate
\frac{5184t^{8}-144t^{2}}{25}
Expand
\frac{5184t^{8}-144t^{2}}{25}
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-2.4^{2}t^{2}+\left(14.4t^{4}\right)^{2}
Expand \left(2.4t\right)^{2}.
-5.76t^{2}+\left(14.4t^{4}\right)^{2}
Calculate 2.4 to the power of 2 and get 5.76.
-5.76t^{2}+14.4^{2}\left(t^{4}\right)^{2}
Expand \left(14.4t^{4}\right)^{2}.
-5.76t^{2}+14.4^{2}t^{8}
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.
-5.76t^{2}+207.36t^{8}
Calculate 14.4 to the power of 2 and get 207.36.
-2.4^{2}t^{2}+\left(14.4t^{4}\right)^{2}
Expand \left(2.4t\right)^{2}.
-5.76t^{2}+\left(14.4t^{4}\right)^{2}
Calculate 2.4 to the power of 2 and get 5.76.
-5.76t^{2}+14.4^{2}\left(t^{4}\right)^{2}
Expand \left(14.4t^{4}\right)^{2}.
-5.76t^{2}+14.4^{2}t^{8}
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.
-5.76t^{2}+207.36t^{8}
Calculate 14.4 to the power of 2 and get 207.36.
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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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