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प्रश्न
Simplify first three terms in the expansion of the following
`(2 - 3x)^(1/3)`
उत्तर
`(2 - 3x)^(1/3)`
= `[2(1 - (3x)/2)]^(1/3)`
= `2^(1/3)(1 - (3x)/2)^(1/3)`
= `2^(1/3)[1 - (1/3)((3x)/2) + ((1/3)(1/3 - 1))/(2!) ((3x)/2)^2 - ......]`
= `2^(1/3)[1 - x/2 + ((1)/(3)((-2)/3))/2*((9x^2)/4) - ......]`
= `2^(1/3)[1 - x/2 - x^2/4 - ......]`
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