500,777 views
19 votes
19 votes
If a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

User Mat J
by
2.8k points

2 Answers

9 votes
9 votes

Explanation:

........ ............... .......

If a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc-example-1
User Arel
by
3.4k points
9 votes
9 votes

Explanation:

  • a+b+c=0
  • b+c=(-a) (SQUARING both the sides)
  • (b+c)²=(-a)²
  • (b²+c²+2bc)=a²
  • 2bc=a²-b²-c²

HENCE PROVED

-b²-c²=2bc

User MichaelW
by
2.6k points