Question

How do you simplify `a/(a+4)+6/(a+2)`?

Answer 1

= `(a^2 + 8a+24)/(a^2+6a+8)`

Explanation:

`a/(a+4)+6/(a+2)`

Make the denominators equal to carry out addition of fractions:

=`a/(a+4)\times(a+2)/(a+2)+6/(a+2)\times (a+4)/(a+4)`

= `(a^2 + 2a+6a+24)/((a+4)(a+2))`

= `(a^2 + 8a+24)/((a+4)(a+2))`

= `(a^2 + 8a+24)/(a^2+6a+8)`