Question

(4a -2b -3c)3 का प्रसार कीजिए।

Answer 1

64a³ - 8b³ - 27c³ -96a²b - 36b²c - 54bc² + 48ab² - 144a²c -108 ac² + 144abc

(4a - 2b - 3c)³

= (4a - 2b - 3c)(4a - 2b - 3c)²

= (4a - 2b - 3c)[(4a)² + (-2b)² + (-3c)² + 2(4a)(-2b) + 2(-2b)(-3c) + 2(-3c)(4a)]

= (4a - 2b - 3c)[16a² + 4b² + 9c² - 16ab + 18bc - 24ca]

= 4a(16a² + 4b² + 9c² - 16ab + 12bc - 24ca) - 2b(16a² + 4b² + 9c² - 16ab + 12bc - 24ca) -3c(16a² + 4b² + 9c² - 16ab + 12bc - 24ca)

= 64a³ + 16b²a + 36c²a - 64a²b + 48abc - 96ca² - 32a²b - 8b³ - 18c²b + 32ab² - 24b²c + 48abc - 48a²c - 12b²c - 27c³ + 48abc - 36bc² + 72c²a

= 64a³ - 8b³ - 27c³ -96a²b - 36b²c - 54bc² + 48ab² - 144a²c -108 ac² + 144abc

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