Question

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

Answer 1

`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`