1/2{(a + b)2 + (a - b)2} = কত?
Solution
Correct Answer: Option A
আমরা 1/2{(a + b)² + (a - b)²} এর মান নির্ণয় করব।
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
এখন,
1/2{(a + b)² + (a - b)²}
= 1/2{(a² + 2ab + b²) + (a² - 2ab + b²)}
= 1/2{2a² + 2b²}
= 1/2 × 2(a² + b²)
= a² + b²
সুতরাং উত্তর হবে: A) a² + b²
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
এখন,
1/2{(a + b)² + (a - b)²}
= 1/2{(a² + 2ab + b²) + (a² - 2ab + b²)}
= 1/2{2a² + 2b²}
= 1/2 × 2(a² + b²)
= a² + b²
সুতরাং উত্তর হবে: A) a² + b²
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions