perform the subtraction

Question

(8a+2b)/(8a^(2)+2ab-3b^(2))-(a+2b)/(16a^(2)-ab^(2))

Answer 1

I factored it to ...

2(4a+b)/( (2a-b)(4a+3b) ) - (a+2b)/( a(16a - b^2) )

nothing divides out, no duplication of factors,

you might just as well do

[ (8a+2b)(16a^2 - ab^2) - (a+2b)(8a^2 + 2ab - 3b^2) ] / [(8a^2 + 2ab - 3b^2)(16a^2 - ab^2) ]

expand and hope for the best

I suspect some sort of typing error.