Question

(x + 4 / 2x + 6)+(3 / x^2 - 9)

Rational expressions, adding and subtracting help por favor.(x + 4 / 2x + 6)+(3 / x^2 - 9)

Rational expressions, adding and subtracting help por favor.@Mathematics

Answer 1

x+4 + 3
---- ----------
2(x+3) (x+3)(x-3)

(x+4)(x-3)+3(2) x^2+x-6 (x+3)(x-2) x-2
---------------- = --------- = ---------- = --------
2(x+3)(x-3) 2(x+3)(x-3) 2(x+3)(x-3) 2(x-3)

Answer 2

x+4 3
= -------- + ---------
2(x+3) (x+3)(x-3)

(x+4)(x-3) +6
= ----------------
2(x+3)(x-3)

x^2 +x -12 +6
= --------------
2(x+3)(x-3)

(x+3)(x-2)
= ----------
2(x+3)(x-3)

x-2
= -------
2x-6