Find the Value of p Square – q Square

If p = 82000 + 8-2000 and q = 82000 – 8-2000, then the value of p2 – q2 is

  1. 3
  2. 4
  3. 1
  4. 2
kishan Default Asked on 23rd July 2015 in Maths.
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1 Answer(s)

Answer: (2) 4
Explanation:-
p = 82000 + 8-2000  and  q = 82000 – 8-2000
p2 – q2 = (p + q) (p – q)
= (82000 + 8-2000 + 82000 – 8-2000) (82000 + 8-2000 – 82000 + 8-2000)
= (82000 + 82000) (8-2000 + 8-2000)
=(2 x 82000) (2x 8-2000)
= 4 x 82000/82000
= 4
Hence, the answer is (2) 4.

Anurag Mishra Professor Answered on 23rd July 2015.
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