a + b + c = 35, এবং = 825 হলে, ab + bc + ca = ?
Created: 2 years ago |
Updated: 2 years ago
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আমরা জানি, (a + b + c)² = a² + b² + c² +
2ab + 2bc + 2ca
⇒ (a + b + c)²(a² + b² + c²) = 2(ab + bc + ca)
⇒ 2(ab + bc + ca) = (a + b + c)²(a² + b² + c²)
⇒ 2(ab + bc + ca) = 35² - 825
⇒ 2(ab + bc + ca) = 400
:. ab + bc + ca = 200
⇒ (a + b + c)²(a² + b² + c²) = 2(ab + bc + ca)
⇒ 2(ab + bc + ca) = (a + b + c)²(a² + b² + c²)
⇒ 2(ab + bc + ca) = 35² - 825
⇒ 2(ab + bc + ca) = 400
:. ab + bc + ca = 200
Md Azizur Rahman
Founder of Satt
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