Question
Download Solution PDF(5x - 2y)² + (2x + 5y)² + (5x + 2y)(5x - 2y) को सरल कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
(5x - 2y)² + (2x + 5y)² + (5x + 2y)(5x - 2y) को सरल कीजिए।
प्रयुक्त सूत्र:
(a - b)² = a² - 2ab + b²
(a + b)² = a² + 2ab + b²
(a + b)(a - b) = a² - b²
गणना:
(5x - 2y)² = 25x² - 20xy + 4y²
(2x + 5y)² = 4x² + 20xy + 25y²
(5x + 2y)(5x - 2y) = 25x² - 4y²
⇒ (5x - 2y)² + (2x + 5y)² + (5x + 2y)(5x - 2y)
⇒ (25x² - 20xy + 4y²) + (4x² + 20xy + 25y²) + (25x² - 4y²)
⇒ 25x² + 4x² + 25x² - 20xy + 20xy + 4y² + 25y² - 4y²
⇒ 54x² + 25y²
इसलिए, सही उत्तर विकल्प (3) है।
Last updated on Jul 22, 2025
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