I just realized why my first comment is wrong. I won't delete the comment so that people can learn from this.... The reason why x ≠ 4y wouldn't be valid as a restriction is because we don't have a denominator (well... we do, it's one). This means that 4y - 4y will just equal to 0 and not n/0 (where n is any interger or rational number). The whole purpose of simplifying RATIOINAL EXPRESSIOINS is to state restrictions that makes it clear what x cannot be so that the fraction remains rational.... i.e to state what x can't be inorder to keep the expression rational: a rational number is the quotient of two integers wherein the denominator is not equal to zero (i.e p/q = rational number where q ≠ 0) the thing is that 0 in of it self is a rational number. p/q where q = 0 is not a rational number.... but we don't have a p/q, we have a (p - p)/1 ... p - p can equal to zero with the sum being a rational number, hence why stating a restriction would not make any sense.
Isn't there one more restriction for number 2):
x - 4y ≠ 0
x ≠ 4y
I just realized why my first comment is wrong. I won't delete the comment so that people can learn from this....
The reason why x ≠ 4y wouldn't be valid as a restriction is because we don't have a denominator (well... we do, it's one). This means that 4y - 4y will just equal to 0 and not n/0 (where n is any interger or rational number). The whole purpose of simplifying RATIOINAL EXPRESSIOINS is to state restrictions that makes it clear what x cannot be so that the fraction remains rational.... i.e to state what x can't be inorder to keep the expression rational: a rational number is the quotient of two integers wherein the denominator is not equal to zero (i.e p/q = rational number where q ≠ 0) the thing is that 0 in of it self is a rational number. p/q where q = 0 is not a rational number.... but we don't have a p/q, we have a (p - p)/1 ... p - p can equal to zero with the sum being a rational number, hence why stating a restriction would not make any sense.
@@josephuwayezu4115thank you for keeping this up mate