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How do you factor #4t^3=36t#?

1 Answer

Mar 31, 2017

#t=3# and #t=-3#

Explanation:

#4t^3=36t#

#:.4t^3-36t=0#

#:.4t(t^2-9)=0#

#:.4t(t^2-3^2)=0#

#:.4t(t-3)(t+3)=0#

#:.t-3=0,t+3=0#

#:.t=3# and #t=-3#

substitute t=3#

#:.4(3)^3=36(3)#

#:.4*27=36*3#

#:.108=108#

substitute t=-3#

#:.4(-3)^3=36(-3)#

#:.4(-27)=-108#

#:.-108=-108#

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