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Mathematics Calculus Wolfram Language Symbolic Computations

Multiplying very long mathematical expressions

Nomsa Ledwaba

Posted 1 day ago

Hello. My goal is to multiply very long mathematical expressions using Wolfram Mathematica. I used the command 'Expand' for that as follows Expand[(( E^(-(1/2) t Sqrt[\[Kappa]] Sqrt[8 \[Theta] + \[Kappa]]) u Sqrt[ x])/(4 \[Theta]) - ( E^(-(1/2) t Sqrt[\[Kappa]] Sqrt[8 \[Theta] + \[Kappa]]) u Sqrt[x] Sqrt[8 \[Theta] + \[Kappa]])/(4 \[Theta] Sqrt[\[Kappa]])), (u/ 4 - 1/8 E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u - 1/8 E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u + ( E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2))/( 4 \[Theta]) + ( E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2))/( 4 \[Theta]) + ( E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/( 8 (8 \[Theta] + \[Kappa])) - ( E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/( 8 (8 \[Theta] + \[Kappa])) - ( E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2) Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/( 4 \[Theta] (8 \[Theta] + \[Kappa])) + ( E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2) Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/( 4 \[Theta] (8 \[Theta] + \[Kappa])) - ( 2 E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2) Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(\[Kappa] (8 \[Theta] + \ \[Kappa])) + ( 2 E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2) Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(\[Kappa] (8 \[Theta] + \ \[Kappa])) )] Is that correct? Or is there another correct method of multiplying very long mathematical expressions?

Hello. My goal is to multiply very long mathematical expressions using Wolfram Mathematica. I used the command 'Expand' for that as follows

Expand[((
       E^(-(1/2) t Sqrt[\[Kappa]] Sqrt[8 \[Theta] + \[Kappa]]) u Sqrt[
        x])/(4 \[Theta]) - (
       E^(-(1/2) t Sqrt[\[Kappa]] Sqrt[8 \[Theta] + \[Kappa]]) u Sqrt[x]
         Sqrt[8 \[Theta] + \[Kappa]])/(4 \[Theta] Sqrt[\[Kappa]])), (u/
       4 - 1/8 E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u - 
       1/8 E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u + (
       E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2))/(
       4 \[Theta]) + (
       E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2))/(
       4 \[Theta]) + (
       E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])
         u Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(
       8 (8 \[Theta] + \[Kappa])) - (
       E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])
         u Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(
       8 (8 \[Theta] + \[Kappa])) - (
       E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2)
         Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(
       4 \[Theta] (8 \[Theta] + \[Kappa])) + (
       E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2)
         Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(
       4 \[Theta] (8 \[Theta] + \[Kappa])) - (
       2 E^(-t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2)
         Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(\[Kappa] (8 \[Theta] + \
    \[Kappa])) + (
       2 E^(t Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])]) u x^(3/2)
         Sqrt[\[Kappa] (8 \[Theta] + \[Kappa])])/(\[Kappa] (8 \[Theta] + \
    \[Kappa])) )]

Is that correct? Or is there another correct method of multiplying very long mathematical expressions?

POSTED BY: Nomsa Ledwaba