(z2)/(z) = z2-1 = z

Here are the solutions to problems 21-36: Step 21: Simplify (z^2)/(z) (z^2)/(z) = z^2-1 = z The simplified expression is z. Step 22: Simplify (3x^2)/(x) (3x^2)/(x) = 3x^2-1 = 3x The simplified expression is 3x. Step 23: Simplify 6x^2 ÷ x 6x^2 ÷ x = (6x^2)/(x) = 6x^2-1 = 6x The simplified expression is 6x. Step 24: Simplify (5c^2)/(c) (5c^2)/(c) = 5c^2-1 = 5c The simplified expression is 5c. Step 25: Simplify (3x^3)/(x) (3x^3)/(x) = 3x^3-1 = 3x^2 The simplified expression is 3x^2. Step 26: Simplify (2x^3)/(x) (2x^3)/(x) = 2x^3-1 = 2x^2 The simplified expression is 2x^2. Step 27: Simplify (5x^3)/(x^2) (5x^3)/(x^2) = 5x^3-2 = 5x The simplified expression is 5x. Step 28: Simplify (12x^3)/(3x) (12x^3)/(3x) = (12)/(3) × (x^3)/(x) = 4x^3-1 = 4x^2 The simplified expression is 4x^2. Step 29: Simplify (18a^3)/(3a) (18a^3)/(3a) = (18)/(3) × (a^3)/(a) = 6a^3-1 = 6a^2 The simplified expression is 6a^2. Step 30: Simplify (26x^2)/(2x) (26x^2)/(2x) = (26)/(2) × (x^2)/(x) = 13x^2-1 = 13x The simplified expression is 13x. Step 31: Simplify (33mn)/(8a) (33mn)/(8a) The expression cannot be simplified further as there are no common factors in the numerator and denominator. The simplified expression is (33mn)/(8a). Step 32: Simplify (42xy)/(7y) (42xy)/(7y) = (42)/(7) × (xy)/(y) = 6x The simplified expression is 6x. Step 33: Simplify (54ab)/(9b) (54ab)/(9b) = (54)/(9) × (ab)/(b) = 6a The simplified expression is 6a. Step 34: Simplify (72a^2b)/(8a) (72a^2b)/(8a) = (72)/(8) × (a^2b)/(a) = 9a^2-1b = 9ab The simplified expression is 9ab. Step 35: Simplify (48x^2y)/(12xy) (48x^2y)/(12xy) = (48)/(12) × (x^2y)/(xy) = 4x^2-1y^1-1 = 4x The simplified expression is 4x. Step 36: Simplify (40pq^2)/(8pq) (40pq^2)/(8pq) = (40)/(8) × (pq^2)/(pq) = 5p^1-1q^2-1 = 5q The simplified expression is 5q. That's 2 down. 3 left today — send the next one.