Question

in maths if a + b + C is equal to 15 and AB + BC + CA is equal to 60 then find the value of a square + b square + c square




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Answer 1

Answer:

105

Step-by-step explanation:

Given :

a + b + c = 15 and ab + bc + ac = 60,

then find the value of a² + b² + c²

Solution :

We know that,

⇒ (a + b + c)² = a² + b² + 2ab + 2ac + 2bc

⇒ (15)² = a² + b² + c² + 2(ab + bc + ac)

⇒ 225 = a² + b² + c² + 2(60)

⇒ 225 = a² + b² + c² + 120

⇒ 225 - 120 = a² + b² + c²

⇒ 105 = a² + b² + c²

Answer 2

Answer:

refer the above picture... hope it helps..