Question

How do you simplify `(2e-2f)(2f+8)`?

Answer 1

Use the distributive property to obtain:
`color(white)("XXX")4ef+16e-4f^2-16f`
or
Extract factors:
`color(white)("XXX")4(e-f)(f+4)`
Depending upon what you view as a "simplification"

Explanation:

`(color(red)(2e)-color(blue)(2f))color(green)((2f+8))`
`color(white)("XXX")=(color(red)(2e))(color(green)(2f+8))+(color(blue)(-2f))(color(green)(2f+8))`
`color(white)("XXX")=4ef+16e-2f^2-16f`
or
Extracting factors of `2` from each of the first and second original factors to get:
`color(white)("XXX")4(e-f)(f+4)`