Question
को आंशिक भिन्नों के योग में व्यक्त कीजिए।
Answer :
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प्रारंभ में, दिया गया भिन्न है: [ \frac{x - 1}{x^3 - x^2 - 2x}. ] सबसे पहले हर को गुणनखंडों में विभाजित करें: [ x^3 - x^2 - 2x = x(x^2 - x - 2). ] अब द्विघात (x^2 - x - 2) को और गुणनखंडों में विभाजित करें: [ x^2 - x - 2 = (x - 2)(x + 1). ] इस प्रकार, हर का हरगुणनखंड रूप होगा: [ x^3 - x^2 - 2x = x(x - 2)(x + 1). ] अब आंशिक भिन्नों के रूप में लिखें: [ \frac{x
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