Use a truth table to determine whether the two statements are equivalent. left parenthesis p logical and q right parenthesis logical or r(p ∧ q) ∨ r and left parenthesis q logical or r right parenthesis logical and p

It is convenient to use a spreadsheet to create a truth table. You can use the built-in AND and OR functions on truth values True and False, or you can use arithmetic functions on truth values 1 (true) and 0 (false). Here, we have chosen the latter course of action.

Also, it is often convenient to use multiplication to signify AND, and summation to signify OR. In that notation, we are comparing your functions
  pq+r
  (q+r)p

The truth table shows them to be not equivalent. Differences are highlighted in blue.

_____
When using 1 and 0 in a spreadsheet, the min( ) function serves for AND( ), and the max( ) function serves for OR( ).