1.

\((x – \frac{1}x)^3\) का विस्तार करो ।

Answer»

(x – \(\frac{1}x\))3 = 3C0x3(\(\frac{1}x\))0 - 3C1x2(\(\frac{1}x\))1 + 3C2x1(\(\frac{1}x\))2  - 3C3x0(\(\frac{1}x\))3

= 1 × x3 × 1 – 3 × x2 x + \(\frac{1}x\) + 3 × x × \(\frac{1}{x^2}\) – 1 × 1 × \(\frac{1}{x^3}\)

= x3 – 3x + \(\frac{3}x−\frac{1}{x^3}\)



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