Expression tree exercises

In each of the following write an expression that yields the expression tree in the picture. Notice that two expressions, e.g. `1 + 2` and `2 + 1`, can mean the same thing, but still have different expression trees. Use parentheses to group subexpressions as needed.

tree_compare 1+2x;

or

tree_compare (x+1)*(x-1);

or

tree_compare x+(y+1)+(x+y+1);

or

tree_compare (x-(y+1))(1+y-x);

or

tree_compare sqrt a + 1 - sqrt(a+1);

or

tree_compare n/2 + 1/n != (n+1)/(2+n);

or

The symbol means a mixed number, e.g. `1 1/4 = 1.25 = 5/4`.

tree_compare 7/2 = 3 1/2 != 3x/2 = (3x)/2;

or

tree_compare x^(-2) = 1 /(x^2);

or

tree_compare sin(x + pi/2) - e^x^2 + (e^x)^2;

or

tree_compare |om|+|2(|x|)DE|;

or

tree_compare root(n)(x) != root(n)(ch) = ch^(1/n);

or

tree_compare (x = -2 \/ x = 3) /\ y <= x;

or

tree_compare x = -p/2 + sqrt((p/2)^2 - q) \/ x = -p/2 - sqrt((p/2)^2 - q);

or

tree_compare x >= 3 <=> x>3 \/ x=3 <=> !(x < 3) ==> x > 3;

or

tree_compare AA z; z != 0: EE w: z w = 1;

or

tree_compare (EE i: i^2 = 9) /\ EE i: i^2 != 9;

or