Add the fractions q/q^2+5q+6 and 1/q^2+3q+2?

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Add the fractions q/q^2+5q+6 and 1/q^2+3q+2?

2006-08-11 03:31:58 · 2 answers · asked by michelle_keefe 1 in Science & Mathematics ➔ Mathematics

2 answers

q^2+2q+3/(q+1)(q+2)(q+3)

2006-08-11 04:06:16 · answer #1 · answered by raj 7 · 0⤊ 0⤋

(q/(q^2 + 5q + 6)) + (1/(q^2 + 3q + 2))
(q/((q + 3)(q + 2))) + (1/((q + 2)(q + 1)))

Multiply everything by (q + 3)(q + 2)(q + 1)

(q(q + 1) + (q + 3))/((q + 2)(q + 3)(q + 1))
(q^2 + q + q + 3)/((q + 2)(q + 3)(q + 1))
(q^2 + 2q + 3)/((q + 2)(q + 3)(q + 1))
(q^2 + 2q + 3)/((q^2 + 5q + 6)(q + 1))
(q^2 + 2q + 3)/(q^3 + q^2 + 5q^2 + 5q + 6q + 6)

ANS : (q^2 + 2q + 3)/(q^3 + 6q^2 + 11q + 6)

2006-08-11 13:25:44 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋