Answer to Question #128941 in Algebra for Mark

Question

Simplify (a^2-b^2)/(a^2+ab)

Answer 1

(a² - b²)/(a² + ab)

factorize;

(a² - b²)=(a - b)(a + b)

(a² + ab)=a(a + b)

Therefore;

(a² - b²)/(a² + ab)=(a - b)(a + b)/(a(a + b)) then (a +b) vanishes leaving

=(a - b)/a