Simplify the expression, if possible. State the excluded values, if any.

1. 5x - 5/ 10x^2 - 25x + 15

2. w^2 + 6w + 9/ 2w^2 - 18

Thanks so much.

1 answer

(5x-5)/(10x^2-25x+15)
= (x-1)(2x^2-5x+3)
= (x-1) / (x-1)(2x-3)
= 1/(2x-3)

x=1 and x = 3/2 are excluded because you cannot divide by zero.

(w^2+6w+9)/(2w^2-18)
= (w+3)(w+3) / 2(w+3)(w-3)
= (w+3) / 2(w-3)

x = 3 and -3 are excluded: no division by zero allowed
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