Question
Download Solution PDFनिम्नलिखित को सरल कीजिए।
(2x +3)2 − (x + 1)2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
(2x + 3)2 - (x + 1)2
प्रयुक्त सूत्र:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
गणना:
(2x + 3)2 - (x + 1)2
⇒ [(2x)2 + 2 × 2x × 3 + 32] - [(x)2 + 2 × x × 1 + 12]
⇒ [4x2 + 12x + 9] - [x2 + 2x + 1]
⇒ 4x2 + 12x + 9 - x2 - 2x - 1
⇒ (4x2 - x2) + (12x - 2x) + (9 - 1)
⇒ 3x2 + 10x + 8
∴ सही उत्तर विकल्प (4) है।
Last updated on Jul 17, 2025
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