Question 630794
={{{(4a)/(a^2 + 6a + 5) - (3a)/(a^2 + 5a + 4)}}}


={{{(4a)/(a^2+5a+a+5) - (3a)/(a^2+4a+a+4)}}}


={{{(4a)/(a(a+5)+1(a+5))-(3a)/(a(a+4)+1(a+4))}}}


={{{(4a)/((a+5)(a+1))-(3a)/((a+4)(a+1))}}}


Take LCD


={{{((4a)(a+4)-(3a)(a+5))/(a+5)(a+1)(a+4)}}}


={{{(4a^2+16a-3a^2-15a)/(a+5)(a+1)(a+4)}}}


={{{(a^2+a)/(a+5)(a+1)(a+4)}}}


={{{a(a+1)/(a+5)(a+1)(a+4)}}}


={{{(a)cross((a+1))/(a+5)cross((a+1))(a+4)}}}


={{{a/(a+5)(a+4)}}}