Question

x^2-49/4x+24*x+6/x-7

Answer 1

Factor each of the four expressions where possible,

x^2 - 49 = (x+7)(x-7)
4x + 24 = 4(x+6)
x+6 cannot be factored further
x-7 cannot be factored further

So you have (x-7)(x+7)/4(x+6) times (x+6)/(x-7)

The (x+6)'s cancels, the (x-7)'s cancels

So we are left with (x+7)/4