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If a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

If a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
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If a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

User Ezzadeen
by
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2 Answers

4 votes

Explanation:

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

If a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc-example-1
User Slavica
by
8.6k points
4 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

a²-b²-c²=2bc

User Jerome Delattre
by
8.7k points
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