( \frac{ 83 ! }{ 81 ! +82 ! } )( \frac{ 40 ! +41 ! }{ 42 ! }
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2
Fatorizar
2
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\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{81!+82!}\times \frac{40!+41!}{42!}
O fatorial de 83 é 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000.
\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000+82!}\times \frac{40!+41!}{42!}
O fatorial de 81 é 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000.
\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000+475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000}\times \frac{40!+41!}{42!}
O fatorial de 82 é 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000.
\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000}\times \frac{40!+41!}{42!}
Some 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 e 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000 para obter 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000.
82\times \frac{40!+41!}{42!}
Dividir 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 por 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000 para obter 82.
82\times \frac{815915283247897734345611269596115894272000000000+41!}{42!}
O fatorial de 40 é 815915283247897734345611269596115894272000000000.
82\times \frac{815915283247897734345611269596115894272000000000+33452526613163807108170062053440751665152000000000}{42!}
O fatorial de 41 é 33452526613163807108170062053440751665152000000000.
82\times \frac{34268441896411704842515673323036867559424000000000}{42!}
Some 815915283247897734345611269596115894272000000000 e 33452526613163807108170062053440751665152000000000 para obter 34268441896411704842515673323036867559424000000000.
82\times \frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000}
O fatorial de 42 é 1405006117752879898543142606244511569936384000000000.
82\times \frac{1}{41}
Reduza a fração \frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000} para os termos mais baixos ao retirar e anular 34268441896411704842515673323036867559424000000000.
\frac{82}{41}
Multiplique 82 e \frac{1}{41} para obter \frac{82}{41}.
2
Dividir 82 por 41 para obter 2.
Exemplos
Equação quadrática
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometria
4 \sin \theta \cos \theta = 2 \sin \theta
Equação linear
y = 3x + 4
Aritmética
699 * 533
Matriz
\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]
Equação simultânea
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferenciação
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integração
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limites
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}