math

The quotient of 9a^2 - 100b^2 / 3a - 10b is: (9a^2 - 100b^2) / (3a - 10b) => Step 1. Factor the numerator: 9a^2 - 100b^2 = (3a - 10b)(3a + 10b) Step 2. Divide the numerator and denominator by their common factor: (3a - 10b)(3a + 10b) / (3a - 10b) => Step 3. Simplify to obtain the quotient: 3a + 10b Thus, the quotient of 9a^2 - 100b^2 / 3a - 10b is 3a + 10b.