p+q=7 এবং p-q=3 হলে 2(p²+q²) এর মান কত?
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✮ Question : What is the value of 2(p² + q²) if p + q = 7 and p - q = 3?
✮ Given : p + q = 7 , p - q = 3
✮ To Find : 2(p² + q²)
✮ Answer : 2(p² + q²) = 42
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✮ Explanation :
We know : (a + b)(a - b) = a² - b²
- In our question : a = p, b = q
(a + b)(a - b) = a² - b²
⇒ (p + q)(p - q) = p² - q²
Substituting the values
⇒ (7)(3) = p² - q²
⇒ 7 × 3 = p² - q²
⇒ 21 = p² - q²
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⇒ p² - q² = 21
- We are asked to find out the value of : 2(p² + q²)
2(p² + q²)
Substituting the value
⇒ 2(21)
⇒ 2 × 21
⇒ 42
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