Čo je výsledkom frac {6x} {4x ^ {2} - 3x - 1} a frac {6} {7x ^ {2} + 8x + 1}?

odpoveď:

# => farba (indigo) ((6x ^ 2) / ((4x + 1) (x-1) (7x + 1) (x + 1)) #

vysvetlenie:

# ((6x) / (4x ^ 2 -3x -1) * (6 / (7x ^ 2 + 8x + 1)) #

# => (6x * x) / ((4x ^ 2-3x-1) * (7x ^ 2 + 8x + 1)) #

# => (6x ^ 2) / ((4x ^ 2 -4x + x - 1) * (7x ^ 2 + 7x + x + 1)) #

# => (6x ^ 2) / ((4x (x-1) + (x - 1)) * (7x (x + 1) + (x + 1)) #

# => (6x ^ 2) / ((4x + 1) (x-1) (7x + 1) (x + 1)) #