Question

Simplify a^2-3a2 a^3-8a^2+12a to lowest terms

Answer 1

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

Explanation:

`a^(2)-3a` has the common multiple of a. If you factor it out, you get
`a(a-3)`.

`a^3-8a^2+12a` also has a common multiple of a. Once factored, you get
`a(a^2-8a+12)`. This equation can be further factored to get
`(a-2)(a-6)`.

Put these two expressions over one another and you get
`(a-3)/((a-2)(a-6))`.