algebra
posted by whitney .
least common denominator for these two rational expressions. ( / stands for fraction bar and the ^ means it's squared. i don't understand these at all.
a/ a^236
2a/a^2+5a6

a^2  36 = (a+6)(a6)
a^2 + 5a  6 = (a+1)(a6)
So, the LCD = (a+6)(a6)(a+1)
to add them ,you'd do
a/(a+6)(a6) + 2a/(a+1)(a6)
= a(a+1)/(a+6)(a6)(a+1) + 2a(a+6)/(a+6)(a6)(a+1)
= (a^2 + a + 2a^2 + 12a)/(a+6)(a6)(a+1)
= (3a^2 + 13a)/(a+6)(a6)(a+1)
= a(3a+13)/(a+6)(a6)(a+1)
= a(3a+13)/(a^3+a^236a36)