How do you simplify #((4t^3)(2t))/(20t^2)# and what are the excluded values for the variable?

1 Answer
Alan P.
Apr 12, 2017

#((4t^3)(2t))/(20t^2)=color(green)(2/5t^2)#
#color(white)("XXXXXXXXXXXXXXXX")color(red)(t!=0)#

Explanation:

#color(red)(t=0)# must be excluded since this would result in an undefined expression value: #0/0#

#((4t^3)(2t))/(20t^2)#
#color(white)("XXX")=((color(blue)(cancel(color(black)4))color(magenta)(cancel(color(black)(t^3))^t))(2t))/(color(blue)(cancel(color(black)(20))_5)color(magenta)(cancel(color(black)(t^2))))#

#color(white)("XXX")=(2t^2)/5#

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