Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

given a+b=c+d and a 3 +b 3 =c 3 +d 3 prove that a 2011 +b 2011 =c 2011 +d 2011 plzz xplain

given a+b=c+d and a3+b3=c3+d3


prove that a2011+b2011=c2011+d2011


plzz xplain

Grade:10

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
6 years ago
Hello student,
Please find the answer to your question below
given a+b=c+d and a3+b3=c3+d3
So (a+b)(a2-ab+b2)=(c+d)(c2-cd+d2)
As a+b=c+d ;(a2-ab+b2)=(c2-cd+d2)
So (a+b)2-3ab=(c+d)2-3cd
So ab=cd
also (a+b)2-4ab=(c+d)2-4cd
So (a-b)2=(c-d)2
SO a+b=c+d and a-b=c-d
So a=c,b=d
Soa2011+b2011=c2011+d2011

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free