Question

Simplify (a^2-3a)/(a^3-8a^2+12a) to lowest terms

Answer 1

Answer:(a-3) /(a-6)(a-2)

Step-by-step explanation:

(a^2-3a)/(a^3-8a^2+12a)

Also, (a^2-3a) = a(a-3)

First, (a^3-8a^2+12a)= a(a^2-8a+12)

=a[a^2-6a-2a+12]

=a[ a(a - 6) -2(a - 6) ]

= a(a-6)(a-2)

So, (a^2-3a)/(a^3-8a^2+12a)

= a(a-3) / a(a-6)(a-2)= (a-3) /(a-6)(a-2)