ABC26GN0009 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2010 · Marks: · Difficulty:

Find the square root of 4a2 + b2 + c2 + 4ab – 2bc – 4ac.

Answer

Answer (as printed):

Explanation

4 a 2 + b 2 + c 2 + 4 ab – 2bc – 4 ac = (2 a)2 + b 2 + (– c)2 + 2 × 2 a × b + 2 × b × (– c) + 2 × (2 a) × (– c) = (2 a + b – c )2 = (2 a + b – c ).

Explanation as extracted from the printed page; notation may be imperfect.