First slide

Multinomial expansion

Question

$The number of terms in the expansion of {(x^{2} + 18 x + 81)}^{15} is$

Easy

A

15
B

16
C

30
D

31

Solution

${(x^{2} + 18 x + 81)}^{15} = (x + 9)^{30} \dots The number of terms = 31$

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