Detailed Video Solution: https://youtu.be/OMayy6p6Hfs
Given boolean function is $f = x + yz$
Option A:
$x + z + xy = x + xy + z = x + z$ ; (We used Absorption Property which is $A + AB = A$)
So, Option A is Not equivalent to $f.$
Option B:
$x + yz = (x+y)(x+z) $ ; (It is the Distributive Property which is $A + BC = (A+B)(A+C)$)
So, Option B is equivalent to $f.$
Option C:
$x + xy + yz = x + yz$ ; (We used Absorption Property which is $A + AB = A$)
So, Option C is equivalent to $f.$
Option D:
$x + xy + xz = x$ ; (We used Absorption Property which is $A + AB = A$)
So, Option D is Not equivalent to $f.$
Final answer is Option B,C.