if a + b - c = 5 and a2 +b2 +c2 = 29 find ab - bc - ca
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Question :
if a + b - c = 5 and a² +b² +c² = 29 find ab - bc - ca
To find :
ab - bc - ca
Formula Used :
- (a + b - c)² = a² + b² + c² + 2(ab - bc - ca)
Solution :
(a + b - c)² = a² + b² + c² + 2(ab - bc - ca)
By putting the values we get,
- (5)² = 29 + 2(ab - bc - ca)
- - 2(ab - bc - ca) = 29 - 25
- ab - bc - ca = 4/-2
- ab - bc - ca = - 2
- So the value of (ab - bc - ca) is - 2
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refer to the attachment
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