\frac{{{0.04560u}^5-\ 0.026848u}^4-{0.000613u}^3+{0.028139u}^2+0.054513u-0.001228}{0.000095u^3-0.000084u^2+0.000024u-0.000002}

asked by guest
on Oct 06, 2024 at 7:23 am



You asked:

Evaluate the expression: \(\frac{{\left( {\left( 0.04560 u \right)}^{5} - 0.026848 u \right)}^{4} - {\left( 0.000613 u \right)}^{3} + {\left( 0.028139 u \right)}^{2} + 0.054513 u - 0.001228}{0.000095 \cdot {u}^{3} - 0.000084 \cdot {u}^{2} + 0.000024 u - 0.000002}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{{\left( {\left( 0.04560 u \right)}^{5} - 0.026848 u \right)}^{4} - {\left( 0.000613 u \right)}^{3} + {\left( 0.028139 u \right)}^{2} + 0.054513 u - 0.001228}{0.000095 \cdot {u}^{3} - 0.000084 \cdot {u}^{2} + 0.000024 u - 0.000002} = \frac{- \frac{230346397 u^{3}}{1000000000000000000} + \frac{791803321 u^{2}}{1000000000000} + \frac{54513 u}{1000000} + \left(\frac{601692057 u^{5}}{3051757812500000} - \frac{839 u}{31250}\right)^{4} - \frac{307}{250000}}{\frac{19 u^{3}}{200000} - \frac{21 u^{2}}{250000} + \frac{3 u}{125000} - \frac{1}{500000}} \)

Expanded

\[\frac{{\left( {\left( 0.04560 u \right)}^{5} - 0.026848 u \right)}^{4} - {\left( 0.000613 u \right)}^{3} + {\left( 0.028139 u \right)}^{2} + 0.054513 u - 0.001228}{0.000095 \cdot {u}^{3} - 0.000084 \cdot {u}^{2} + 0.000024 u - 0.000002} = \frac{131068133085775282769190451412780001 u^{20}}{8239936510889833698456641286611557006835937500000000000000 u^{3} - 7285838599102589796530082821846008300781250000000000000000 u^{2} + 2081668171172168513294309377670288085937500000000000000000 u - 173472347597680709441192448139190673828125000000000000000} - \frac{182761534541855290343895612927 u^{16}}{21094237467877974268049001693725585937500000000 u^{3} - 18651746813702629879117012023925781250000000000 u^{2} + 5329070518200751394033432006835937500000000000 u - 444089209850062616169452667236328125000000000} + \frac{764528594137399034661987 u^{12}}{432009983342140913009643554687500000 u^{3} - 381987774744629859924316406250000000 u^{2} + 109139364212751388549804687500000000 u - 9094947017729282379150390625000000} - \frac{355353142868161983 u^{8}}{2211891114711761474609375 u^{3} - 1955777406692504882812500 u^{2} + 558793544769287109375000 u - 46566128730773925781250} + \frac{495504774241 u^{4}}{\frac{362396240234375 u^{3}}{4} - 80108642578125 u^{2} + 22888183593750 u - \frac{3814697265625}{2}} - \frac{230346397 u^{3}}{95000000000000 u^{3} - 84000000000000 u^{2} + 24000000000000 u - 2000000000000} + \frac{791803321 u^{2}}{95000000 u^{3} - 84000000 u^{2} + 24000000 u - 2000000} + \frac{54513 u}{95 u^{3} - 84 u^{2} + 24 u - 2} - \frac{307}{\frac{95 u^{3}}{4} - 21 u^{2} + 6 u - \frac{1}{2}}\]

Factored

\[\frac{{\left( {\left( 0.04560 u \right)}^{5} - 0.026848 u \right)}^{4} - {\left( 0.000613 u \right)}^{3} + {\left( 0.028139 u \right)}^{2} + 0.054513 u - 0.001228}{0.000095 \cdot {u}^{3} - 0.000084 \cdot {u}^{2} + 0.000024 u - 0.000002} = \frac{131068133085775282769190451412780001 u^{20} - 71391224430412222790584223799609375000000 u^{16} + 14582225687740307515372982025146484375000000000 u^{12} - 1323793615654714342206716537475585937500000000000000 u^{8} + 45065896687538042897358536720275878906250000000000000000 u^{4} - 19979365124128678488091281906235963106155395507812500 u^{3} + 68677990464754978816586117318365722894668579101562500000000 u^{2} + 4728249042296184256883861962705850601196289062500000000000000 u - 106512021424975955596892163157463073730468750000000000000000}{86736173798840354720596224069595336914062500000000000000 \cdot \left(95 u^{3} - 84 u^{2} + 24 u - 2\right)}\]

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