Question Type 6: Expanding binomials using binomial theorem Exercises

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

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

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

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

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

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

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

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

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

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

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

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

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