HELLLPPP PPPLLLZZZ! 30 points if i get the right answer plus step by step

2x - 3

Step-by-step explanation:

2x² - 7x + 6 / x - 2

Factorise the numerator(quadratic expression).

2x² -7x + 6

Find the factor of (2×6= 12  ) that add up to give -7 , the coefficient of x.

Factors = -4 and -3

Rewrite the equation

2x² -4x -3x + 6

2x(x - 2) -3(x -2)

( 2x - 3)(x - 2)

Therefore the expression would be

(2x -3)(x-2) / (x-2)

(x-2) divides (x-2) to give

= 2x - 3

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