Question

Simplify:- a^2-ab+b^2/a2+ab ÷ a^3+b^3/a^2-b^2​

Answer 1

Answer:

the answer is (a-b)/a

solution

we know that a^2-ab+b^2=a^3+b^3,

a2+ab=a(a+b),

a^2-b^2=(a+b)(a-b),

so,

a^3+b^3/a(a+b)×(a+b)(a-b)/a^3+b^3

=(a-b)/a