Question

which of the following is the simplified form of (x+4)/(2x+6) + (3)/(x^2-9)
a) x+2/2(x+3) b) x+2/2(x-3) c)x-2/2(x-3) d)x-2/2(x+3)

Answer 1

[(x+4)/2(x+3)]+[3/(x-3)(x+3)]
=[(x+4)(x-3)+3*2]/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)/2(x+3)

Answer 2

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

Answer 3

thanks you guys!