Xiao Hua and Xiao Ming work out an integral multiplication problem (2x + a) (3x + b) at the same time. Xiao Hua copies "a" in the first polynomial into - A, and the result is 6x2 + 11x-10; Xiao Ming copies "3x" in the second polynomial into x, and the result is 2x2-9x + 10. (1) do you know the values of a and B in the formula? (2) Please work out the correct result of this problem

Xiao Hua and Xiao Ming work out an integral multiplication problem (2x + a) (3x + b) at the same time. Xiao Hua copies "a" in the first polynomial into - A, and the result is 6x2 + 11x-10; Xiao Ming copies "3x" in the second polynomial into x, and the result is 2x2-9x + 10. (1) do you know the values of a and B in the formula? (2) Please work out the correct result of this problem

(1) According to the meaning of the question, we can get: (2x-a) (3x + b) = 6x2 + (2b-3a) x-ab = 6x2 + 11x-10; (2x + a) (x + b) = 2x2 + (a + 2b) x + AB = 2x2-9x + 10, ｜ 2B − 3A = 11A + 2B = − 9, the solution is: a = - 5, B = - 2; (2) the correct formula is (2x-5) (3x-2) = 6x2-19x + 10