Course home

1.7.1 Binomial expansion

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116

Question 32

Find the first four terms, in ascending powers of $x$ , of the binomial expansion of $1+6x\sqrt{1 + 6x}$ , giving each term in its simplest form.

[3]

Explain how you could use $x=112\displaystyle x = \frac{1}{12}$ in your expansion to find an approximation for $6\sqrt{6}$ . There is no need to carry out the calculation.

[2]

Markscheme

1.7.1 Binomial expansion Questions

A Level
Maths
1.7.1 Binomial expansion

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

1.7.1 Binomial expansion

Easy Medium Hard

Question 32

Find the first four terms, in ascending powers of $x$ , of the binomial expansion of $1+6x\sqrt{1 + 6x}$ , giving each term in its simplest form.

[3]

Explain how you could use $x=112\displaystyle x = \frac{1}{12}$ in your expansion to find an approximation for $6\sqrt{6}$ . There is no need to carry out the calculation.

[2]

Markscheme

1.7.1 Binomial expansion Questions

A Level
Maths
1.7.1 Binomial expansion

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.