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**GENERAL EVALUATION**

1) Write down and simplify all the terms of the binomial expansion of ( 1 – x )^{6} . Use the expansion to evaluate 0.997^{6} correct to 4 dp

2) Write down the expansion of ( 1 + ¼ x ) ^{5} simplifying all its coefficients

3) Use the binomial theorem to expand ( 2 – ¼ x)^{5} and simplify all the terms

4) Deduce the expansion of ( 1 – x +x^{2} )^{6} in ascending powers of x

**Reading Assignment**

New Further Maths Project 2 page 73 – 78

**WEEKEND ASSIGNMENT**

If the first three terms of the expansion of ( 1 + px )^{n} in ascending powers of x are 1 + 20v + 160x find the value of

1) n a) 2 b) 3 c) 4 d) 5

2) p a) 2 b) 3 c) 4 d) 5

3) In the expansion of ( 2x + 3y )^{4} what is the coefficient of y^{4} a) 16 b) 81 c) 216 d) 96

4) How many terms are in the expansion of ( 1 – 4x ) ^{5} a) 3 b) 5 c) 6 d) 8

5) What is the third term in the expansion of ( 1 – 3x )^{6} in ascending powers of x a) 18 b) -540 c) 135 d) 729

**THEORY**

1) Using binomial theorem, write down and simplify the first seven terms of the expansion of ( 1 + 2x )^{10} in ascending powers of x

2) Expand ( 2 + x )^{5} ( 1 – 2x ) ^{6} as far as the term in x^{3} . Evaluate ( 1.999 )^{5} ( 1.002 )^{6}