Question

32. If a+b+c = 13 a²+ b² + c²=64 then find
bc
ab +
+ ca​

Answer 1

Step-by-step explanation:

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Correct Question:

If a + b +c = 12 and a² + b² + c² = 64 then find the value of (ab + bc + ca).

Given:

(a + b + c) = 12

a² + b² + c² = 64

To find:

Value of (ab + bc + ca)

Method:

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

⇒ (12)² = (a² + b² + c²) + 2(ab + bc + ca)

⇒ 144 = 64 + 2(ab + bc + ca)

⇒ 144 - 64 = 2(ab + bc + ca)

⇒ 2(ab + bc + ca) = 80

⇒ (ab + bc + ca) = 80 ÷ 2

⇒ (ab + bc + ca) = 40 Ans.

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