Question

7. যদি a+b+c = 14 আৰু a + b + c =
96. তেন্তে (ab + bc + ca) ৰ মান হ'ব?​

Answer 1

Step-by-step explanation:

Correct Question:—If a + b + c = 14 and a² + b² + c² = 96, then (ab + bc + ca) = ?

Solution:—

We know that,

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

⇒ 196 = 96 + 2(ab + bc + ca)

⇒ 2(ab + bc + ca) = 196 - 96 = 100

∴ (ab + bc + ca) = 100/2 = 50

Hence, the value of (ab+bc+ca) = 50.

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If a + b + c = 14 and a2 + b2 +c2 = 96 then (ab + bc + ca) =?

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Answer 2

Step-by-step explanation:

Correct Question:—If a + b + c = 14 and a² + b² + c² = 96, then (ab + bc + ca) = ?

We know that,

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

=> 196 = 96 + 2(ab + bc + ca)

=> 2(ab + bc + ca) = 196 - 96 = 100

∴ (ab + bc + ca) = 100/2 = 50