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4.2 Expanding (a + bx)^n

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Question 91

Find the first two terms, in ascending powers of $u$ , of the binomial expansion of

2u)^{\frac{1}{3}}

[2]

Hence, for small values of $x$ , show that

\cos 3x + \sqrt[3]{1 - x^2} \approx A + Bx + Cx^2

where $A$ , $B$ and $C$ are constants to be found.

[5]

Markscheme

4.2 Expanding (a + bx)^n Questions

A Level
Maths
4.2 Expanding (a + bx)^n

99 exam-style questions on Edexcel A Level Maths 4.2 Expanding (a + bx)^n. Each one has a worked solution and a mark scheme showing where the marks go.

4.2 Expanding (a + bx)^n

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4.2 Expanding (a + bx)^n

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Question 91

Find the first two terms, in ascending powers of $u$ , of the binomial expansion of

2u)^{\frac{1}{3}}

[2]

Hence, for small values of $x$ , show that

\cos 3x + \sqrt[3]{1 - x^2} \approx A + Bx + Cx^2

where $A$ , $B$ and $C$ are constants to be found.

[5]

Markscheme

4.2 Expanding (a + bx)^n Questions

A Level
Maths
4.2 Expanding (a + bx)^n

99 exam-style questions on Edexcel A Level Maths 4.2 Expanding (a + bx)^n. Each one has a worked solution and a mark scheme showing where the marks go.