This problem addresses some common algebraic errors. for the equalities stated below assume that x and y stand for real numbers. assume that any denominators are non-zero. mark the equalities with t (true) if they are true for all values of x and y, and f (false) otherwise.

1. (x+y)^2 =x^2+y^2 __

2. (x+y)^2 = x^2 +2xy+y^2__

3. x/x+y=1/y__

4. x−(x+y) = y__

5. √x^2 =x__

6. √x^2 = |x|__

7. √x^2+4=x+2__

8. 1/x+y=1/x+1/y__