Question
Download Solution PDFयदि x - y = 1 है, तो x3 - y3 - 3xy का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
यदि x - y = 1
प्रयुक्त सूत्र:
x3 - y3 - 3xy = (x - y)(x2 + xy + y2) - 3xy
गणना:
x - y = 1
⇒ x3 - y3 - 3xy = 1(x2 + xy + y2) - 3xy
⇒ x3 - y3 - 3xy = x2 + xy + y2 - 3xy
⇒ x3 - y3 - 3xy = x2 + y2 - 2xy
⇒ x3 - y3 - 3xy = (x - y)2
⇒ x3 - y3 - 3xy = 12
⇒ x3 - y3 - 3xy = 1
∴ सही उत्तर विकल्प (2) है।
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