Please simplify this expression,if possible. State the excluded values,if any.

5x-5 / 10x^2 -25x + 15.

thank you for your time.

1 answer

Divide numerator and denominator by 5:
(x-1)/(2x^2-5x+3).
Factor the denominator:
A*C = 2*3 = 6 = (-2)*(-3),
2x^2 - (2x+3x) + 3 = 0,
(2x^2-2x) - (3x-3) = 0,
2x(x-1) - 3(x-1) = 0,
(x-1)(2x-3) = 0,
(x-1)/(x-1)(2x-3) = 1/(2x-3).
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