गुणनखंड ज्ञात कीजिए एक्स स्क्वायर माइनस टू एक्स स्क्वायर माइनस एक्स प्लस टू
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Given : x³ - 2x² - x + 2
To Find : गुणनखंड
Solution:
x³ - 2x² - x + 2
=x²(x - 2) - 1(x - 2)
Taking x - 2 common
=(x - 2)(x² - 1)
using a² - b² = (a + b)(a - b)
a = x b = 1
= (x - 2)(x + 1)(x - 1)
x³ - 2x² - x + 2 = (x - 2)(x + 1)(x - 1)
एक्स स्क्वायर माइनस टू एक्स स्क्वायर माइनस एक्स प्लस टू
x² - 2x² - x + 2
= - x² - x + 2
= - x² +x - 2x + 2
= x(-x + 1) + 2(-x + 1)
= (x + 2)(1 - x)
x² - 2x² - x + 2 = (x + 2)(1 - x)
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