простых

простых

The word "простых" is the genitive plural or accusative plural (animate) form of "простой" and means "simple" or "plain."

Here, 'простых' is used as an adjective to describe 'людей' (people), meaning 'ordinary' or 'simple'.

В жизни простых людей есть много интересного.

In the lives of ordinary people, there is a lot of interesting things.

In this sentence, 'простых' is used to qualify 'примерах' (examples), implying simplicity or ease of understanding.

Я объясню это даже на самом простых примерах.

I will explain this even with the simplest examples.

Here, 'простых' describes 'ошибок' (mistakes), denoting something that is uncomplicated or basic.

Учёный старается избегать простых ошибок.

A scientist tries to avoid simple mistakes.