# Algebra

posted by
**Tammy** on
.

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

--------------------------- Divide top by bottom

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

Very Big Problem and help would be greatly appreciated

not that tough once you notice that your question has the pattern

(a/b + b/a)÷(b/a - a/b)

where a = 3x+4 and b=3x-4

this easily reduces to (a^2 + b^2)/(b^2 - a^2)

now replace a and b with 3x+4 and 3x-4 and it simplifies to

(9x^2+16)/(-24x)