Exercises for Question Type 6: Expanding binomials using binomial theorem - IB | RevisionDojo

IB
Question Type 6: Expanding binomials using binomial theorem

Question Type 6: Expanding binomials using binomial theorem Exercises

Question 1

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

[3]

Question 2

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

[4]

Question 3

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

[3]

Question 4

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

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

[4]

Question 5

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

[4]

Question 6

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

[3]

Question 7

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

[3]

Question 8

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

[3]

Question 9

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

[3]

Question 10

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

[4]

Question 11

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

[3]

Question 12

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

[4]

Question 13

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

[4]