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प्रश्न
Expand the expression: (2x – 3)6
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उत्तर
By using Binomial Theorem, the expression (2x – 3)6 can be expanded as
`(2x - 3)^6 = (2x)^6 + ^6C_1 (2x)^5 (- 3) + ^6C_2 (2x)^4 (-3)^2 + ^6C_3 (2x)^3 (- 3)^3 + ^6C_4 (2x)^2 (- 3)^4 + ^6C_5 (2x)^1 (- 3)^5 + (- 3)^6`
= `64x^6 + 6.32x^2 (-3) + 15. 16x^4 . 9 + 20.8 x^3 (- 27) + 15.4x^2 . 81 + 6.2x (- 243) + 729`
= `64x^6 - 576x^5 + 2160 x^4 - 4320x^2 + 4860x^2 - 2916x + 729`
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