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1.7.1 Binomial expansion

Expand $1 + 3x)^{-3}$ in ascending powers of $x\,$ up to and including the term in $x^3$ .

[3]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Hence find the expansion of $2x+1(1+3x)3\dfrac{2x + 1}{(1 + 3x)^3}$ up to and including the term in $x^3$ .

[3]

1.7.1 Binomial expansion Questions

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

1.7.1 Binomial expansion

Question bank

Expand $1 + 3x)^{-3}$ in ascending powers of $x\,$ up to and including the term in $x^3$ .

[3]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Hence find the expansion of $2x+1(1+3x)3\dfrac{2x + 1}{(1 + 3x)^3}$ up to and including the term in $x^3$ .

[3]

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.