Simplify 2ab - ab2 - 7ab + a2b + 5ab2. Evaluate 9^(1/2) + 1. Solve the equation x2 - 2x = 0. Using set notation, describe the shaded region in the diagram below.

1. Simplify 2ab - ab^2 - 7ab + a^2b + 5ab^2. Step 1: Identify and group like terms. (2ab - 7ab) + (-ab^2 + 5ab^2) + a^2b Step 2: Combine the like terms. -5ab + 4ab^2 + a^2b The simplified expression is -5ab + 4ab^2 + a^2b. 2. Evaluate 9^(1)/(2) + 1. Step 1: Evaluate the term with the fractional exponent. Recall that x^(1)/(2) = sqrt(x). 9^(1)/(2) = sqrt(9) = 3 Step 2: Add 1 to the result. 3 + 1 = 4 The evaluated value is 4. 3. Solve the equation x^2 - 2x = 0. Step 1: Factor out the common term x from the equation. x(x - 2) = 0 Step 2: Set each factor equal to zero to find the possible values of x. x = 0 or x - 2 = 0 Step 3: Solve for x in the second equation. x - 2 = 0 x = 2 The solutions are x = 0 or x = 2. 4. Using set notation, describe the shaded region in the diagram below. The shaded region includes all elements that are in set A or in set B (or both). This is known as the union of sets A and B. The shaded region is described by A B. Send me the next one 📸