How many terms are in the binomial expansion of (2x + 3)5?

What is the coefficient of the third term in the binomial expansion of (a + b)6?

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?

10C3(e7)(2f)3

10C3(e7)(f)3

10C4(e6)(2f)4

10C4(e6)(f)4

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

How many terms are in the binomial expansion of (3x + 5)9?

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4?

128

512

What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?

12C7(3)7

12C8

12C4(3)4

12C8(3)8

What is the binomial expansion of (x + 2)4?

x4 + 4x3 + 6x2 + 4x + 1

8x3 + 24x2 + 32x

x4 + 8x3 + 24x2 + 32x + 16

2x4 + 8x3 + 12x2 + 8x + 2

Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true?

The value of the binomial coefficient nC0 is n – 1 for all values of n.

The values of nC1 and nCn–1 are equal to 1.

The values of nC0 and nCn are equal to 1.

The value of the binomial coefficient nC1 is n – 1 for all values of n.

What is the binomial expansion of (2x – 3)5?

(2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243

(2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243

(2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243

2(x)5 – 30(x)4 + 180(x)3 – 540(2x)2 + 810(x) – 243

The Binomial Theorem Answers

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