First slide

Binomial theorem for positive integral Index

Question

The number of terms in the expansion of $(x^{2} + 6 x + 9^{})^{30}$ is

Moderate

A

31
B

61
C

91
D

none of these

Solution

Use ${(x^{2} + 6 x + 9)}^{30} = (x + 3)^{60}$

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