Boolean Logic disjunction normal form and Simplified DNF

Question

So I've taken the expression

(¬P∧¬Q∧R∧S)V(¬P∧¬Q∧R∧S)V(¬P∧¬Q∧R∧S)

all the way down to

(P¬∧Q∧R∧¬S)V(R∧S∧¬P)

This is right when I input it into MATLAB unless 2 cancel each other out. What is the simplest way to make this happen. I'm so confused.

Answer 1

I feel this :

(¬P∧¬Q∧R∧S)V(¬P∧¬Q∧R∧S)V(¬P∧¬Q∧R∧S)

when simplified becomes this :

(¬P∧¬Q∧R∧S)

but not this :

(P¬∧Q∧R∧¬S)V(R∧S∧¬P)