Simplifying Rational Expressions?

Question

m+4 over m - 6


r+6 over r^2-r-6


9y+8 over y


37m^4n^3 over 24m^2n^5


(x+4)(x-3) over (x+5)(x+4)

Answer 1

1. not sure it can be simplified
Maybe (m-6 + 10)/(m-6) = 1 +10/(m-6)

2. (r+6)/(r^2-r-6) = (r+6)/(r-3)(r+2)

3. (9y+8)/y = 9 + 8/y

4. 37m^4n^3/24m^2n^5 = 37m^2/24n^2

5. (x+4)(x-3)/(x+5)(x+4) = (x-3)/(x+5)

Answer 2

(m+4) / (m - 6) is already simplified

(r+6) / (r^2-r-6) = (r+6) / (r-3)(r+2) , so it's already simplified


(9y+8) / y is already simplified

37m^4n^3 / 24m^2n^5 =
37m^2 / 24n^2

(x+4)(x-3) / (x+5)(x+4) =
divide top and bottom by (x+4)
(x-3) / (x+5)

Answer 3

(m + 4)/(m - 6) no need to simplify

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(r + 6)/(r^2 - r - 6)
(r + 6)/((r - 3)(r + 2))
Can't simplify

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(9y + 8)/y
Can't simplify

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(37m^4n^3)/(24m^2n^5)
(37/24) * m^(4 - 2) * n^(3 - 5)
(37/24) * m^2 * n^(-2)
(37m^2)/(24n^2)

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((x + 4)(x - 3))/((x + 5)(x + 4))
(x - 3)/(x + 5)