Question

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.
6a^4+162a^3a^4−9a^3+27a^2

Answer 1

What you typed is not a rational expression, to have one I expect to see a fraction.

Answer 2

6a^4+162a/3a^4-9a^3+27a^2
6a^3*a+6*27a/3a^4-9a^3+27a^2
6a(a^3+27)/3a^4-9a^3+27a^2=
6a(a^3+27)/a^2(3a^2-9a+27)

Answer 3

I think you mean
6a(a^3+27)/(a^2(3a^2-9a+27)) or else only the a^2 is divided
= 6a(a^3+27)/(3a^2(a^2-3a+9))
= 6a(a+3)(a^2-3a+9) / (3a^2(a^2-3a+9))
= 6a(a+3) / (3a^2)
= 2(a+3)/a , a ≠ 0