Question

Сократить дробь 15x^2-8bx+b^2/12x^2-bx-b^2

Answer 1

15x²-8bx+b²=15(x-b/5)(x-b/3)=(5x-b)(3x-b)
D=64b²-60b²=4b²
x1=(8b-2b)/30=b/5 U x2=(8b+2b)/30=b/3
12x²-bx-b²=12(x+b/4)(x-b/3)=(4x+b)(3x-b)
D=b²+48b²=49b²
x1=(b-7b)/24=-b/4 U x2=(b+7b)/24=b/3
(15x²-8bx+b²)/(12x²-bx-b²)=(5x-b)(3x-b)/(4x+b)(3x-b)=(5x-b)/(4x+b)