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(10 x^2-26 x+12)/(2 x^2-2 x-4)
= (10 x^2-26 x+12)/2 (x^2-x-2)
=(10 x^2-26 x+12)/(2 (x+1) (x-2)
=2 (5 x^2-13 x+6)/(2 (x+1) (x-2))
= 2x(5 x-3)(x -2)/ 2(x +1)(x-2)
= (coret2 yg sama. sprti 2/2 dn (x-2)
= 5x -3 / x - 1.
(2 x (5 x-3)-2 (5 x-3))/(2 (x+1) (x-2))
Factor 5 x-3 from x (5 x-3)-2 (5 x-3):
(2 (5 x-3) (x-2))/(2 (x+1) (x-2))
(2 (5 x-3) (x-2))/(2 (x+1) (x-2)) = 2/2×((5 x-3) (x-2))/((x+1) (x-2)) = ((5 x-3) (x-2))/((x+1) (x-2)):
((5 x-3) (x-2))/((x+1) (x-2))
Cancel terms. ((5 x-3) (x-2))/((x+1) (x-2)) = (5 x-3)/(x+1):
Answer:
(5 x-3)/(x+1)