0 Rajan@2021Guru Asked: March 31, 20212021-03-31T09:29:00+05:30 2021-03-31T09:29:00+05:30In: CBSE Show that (a−b)^2, (a^2+b^2) and (a+b)^2 are in AP. 0 One of the basic question from arithmetic progression chapter in which we have been asked to prove that (a−b)^2, (a^2+b^2) and (a+b)^2 are in AP. RS Aggarwal, Class 10, chapter 5B, question no 5. arithmetic progressioncbseclass 10 solution Share Facebook 1 Answer Voted Oldest Recent MathsMentor Guru 2021-03-31T22:29:44+05:30Added an answer on March 31, 2021 at 10:29 pm Assume that (a−b)2,(a2+b2) and (a+b)2 are in AP. So, difference between two consecutive terms will be same. (a2+b2)−(a−b)2=(a+b)2−(a2+b2) (a2+b2)−(a2+b2−2ab)=a2+b2+2ab−a2−b2 2ab=2ab Which is true. Hence given terms are in AP. 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions Speed of a boat in still water is 15 km/h. It goes 30 km upstream and returns back ... Find the values of k for which the pair of linear equations kx + 3y = k-2 and ... . Solve for x and y: 0.4x-1.5y = 6.5, 0.3x-0.2y=0.9. Solve graphically the system of linear equations 4x-5y +16=0 and 2x+y-6 = 0. Determine the vertices of the ... If the remainder on division of x3 + 2x2 + kx +3 by x – 3 is 21, ...

Assume that (a−b)2,(a2+b2) and (a+b)2 are in AP.

So, difference between two consecutive terms will be same.

(a2+b2)−(a−b)2=(a+b)2−(a2+b2)

(a2+b2)−(a2+b2−2ab)=a2+b2+2ab−a2−b2

2ab=2ab

Which is true.

Hence given terms are in AP.