Help! Help! Help!I need help with a rational expression. Here is the problem... C/c^+15c+56 - 7/c^2+13c+42?

Answer 1

Let me first rewrite the problem (what I assume) correctly:

x = (c/(c^2 + 15c + 56)) - (7/(c^2 + 13c +42).

By finding the roots of quadratic equations we get:

c^2 + 15c + 56 = (c + 7)(c + 8), and

c^2 + 13c + 42 = (c + 6)(c + 7).

Then x = [1/(c + 7)]*[c/(c + 8) - 7/(c + 6)] = [1/(c + 7)]*[(c^2 - c - 56)/((c + 6)*(c + 8))] = [1/(c + 7)]*[(c - 7)*(c + 8)/((c + 6)*(c + 8))] = (c - 7)/((c + 6)*(c + 8)).

Answer 2

something wrong with the expression given?