Exercises for Question Type 6: Expanding binomials using binomial theorem

Question 1

Skill question

Use the binomial theorem to expand $(4 x - \frac{1}{2})^{5}$ .

[3]

Question 2

Skill question

Expand $(x - 3)^{5}$ fully.

[4]

Question 3

Skill question

Expand $(2 x + 5)^{4}$ using the binomial theorem.

[3]

Question 4

Skill question

Use the binomial theorem to expand $(2 a + 3 b)^{5}$ . [4 marks]

Use the binomial theorem to expand $(2 a + 3 b)^{5}$ .

[4]

Question 5

Skill question

Expand $(1 + 2 x)^{6}$ completely.

[4]

Question 6

Skill question

Expand $(5 y - 4)^{3}$ completely.

[3]

Question 7

Skill question

Expand $(x - \frac{1}{x})^{5}$ using the binomial theorem.

[3]

Question 8

Skill question

Expand $(3 x - 2)^{6}$ using the binomial theorem.

[3]

Question 9

Skill question

Use the binomial theorem to expand $(3 t - 1)^{4}$ .

[3]

Question 10

Skill question

Use the binomial theorem to expand $(- x + 4)^{5}$ .

[4]

Question 11

Skill question

Find the first three terms in the expansion of $(x + 2)^{8}$ in descending powers of $x$ .

[3]

Question 12

Skill question

Expand $(\frac{1}{2} x + 3)^{4}$ fully. [4 marks]

[4]

Question 13

Skill question

Expand $(2 x - 3 y)^{4}$ using the binomial theorem.

[4]

IB Mathematics Analysis and Approaches Question Type 6: Expanding Binomials Using Binomial Theorem Exercises