Question

Factorise fully 18e^2f^3-12e^2f

Answer 1

`18e^2f^3-12e^2f = 6e^2f(3f^2-2)`

Explanation:

Given

`18e^2f^3-12e^2f`

Required

Factorize:

`18e^2f^3-12e^2f`

Express 18 as 6 * 3 and 12 as 6 * 2

`18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f`

Factor out 6

`18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)`

Factor out
`e^2`

`18e^2f^3-12e^2f = 6e^2(3f^3-2f)`

Factor out f

`18e^2f^3-12e^2f = 6e^2f(3f^2-2)`