If 5x² – 8y – 20x + 2xy = (x + a)(bx + 2y), then the value of (a – b) is:यदि 5x² – 8y – 20x + 2xy = (x + a)(bx + 2y) है, तो (a – b) का मान है :
यदि 5x² – 8y – 20x + 2xy = (x + a)(bx + 2y) है, तो (a – b) का मान है :
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Correct answer: (C) –9–9
Explanation
(x + a)(bx + 2y) = bx² + 2xy + abx + 2ay. Comparing: b = 5 and 2a = –8, so a = –4 (check: ab = –20). a – b = –4 – 5 = –9.(x + a)(bx + 2y) = bx² + 2xy + abx + 2ay। तुलना करने पर: b = 5 और 2a = –8, इसलिए a = –4 (जाँच: ab = –20)। a – b = –4 – 5 = –9।