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QJEEM20Madfdc: JEE Main 2020 Mathematics - Class 11 JEEM20Madfdc Solution: The coefficient of x 4 is the expansion of (1 + x + x 2 ) 10 is …

The coefficient of x4 is the expansion of (1 + x + x2)10 is _____.

Step-by-Step Verified Solution

(1 + x + x2)10

= 10C0(1 + x)10 + 10C1(1 + x)9.x2 + 10C2(1 + x)8.x4+ .....

Coefficient of x4

= 10C0.10C4 + 10C1.9C2 + 10C2.8C0

= 210 + 360 + 45

= 615

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