badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

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
Menu
Grade: 11

                        

If a, b, c are three consicutive integers. Prove that, (a-i) (a+i) (c-i) (c+i) = b^4 + 1

one month ago

Answers : (1)

Vikas TU
13786 Points
							
Dear student 
 (a-i )(a+i )(c+i )( c-i)
= (a² - i²)(c² - i²)
i² = - 1
= (a² + 1)(c² + 1)
= a² + c²  + a²c²  + 1
= (b - 1)² + (b + 1)²  + (b-1)²(b + 1)² + 1
= b² + 1 - 2b + b² + 1 + 2b  + (b² - 1)² + 1
= 2b² + 3  + b⁴ + 1 - 2b²
= b⁴ + 4
So, in the question the RHS must be  b⁴ + 4
Good Luck 
one month ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details