Question

If a<b<0 show that a² > b²

PLEASE SHOW STEP-BY-STEP​

Answer 1

a2−b2=(a−b)(a+b).

Since a≥0 and b>0, a+b>0 and a−b<0 since a<b, thus: (a−b)(a+b)<0. So a2−b2<0. Thus a2<b2.