Question

Show that(a-b)×(a-b), (a×a+b×b), (a+b)×(a+b) are in AP

Answer 1

Step-by-step explanation:

=(a-b )x (a-b),(axa + bxb ), (a+b)x (a+b)

=(a-b)²,(a²+b²),(a+b)²

=(a²+b²-2ab ),(a²+b²),(a²+b²+2ab)

since the common difference between adjacent term is 2ab so it's an AP