Page 43 - Math SL HB Sem 1

Exercises on Binomial Theorem (SL)

A Find the coelficient ofr5 in the expansion of(3_r _ 2)8

(Total il marks)
2. Find the coefficient ofal64 in the expansion of(5a + b)7.

(Total4 marks)
3 Find the coefficientof as b1 in the expansion of(a + 6)t2

(Total 4 marks)

4. Determine the constant term in the expansion of 2 9
x

(Total 4 marks)
5. Use the trinomial theorem to complete this expansion.

(3x +2Y14 = Slxa + 216*3 1
'
(Total 4 marks)

0.d. = r.[l),. r . /
6.
consider the binomiar expansion
[ll [f
(a) By subsrituting x = I into both sides, or otherwise, *** -[1)
[l).fi

(b) u"",..,"
[:J.[;).8.[:).(:).0.0.[:)

(Total 4 marks)
(^ , l'\n
Consider the expansion of trx --t-
\ ,J

G) How many terms are there in this expansion?

(b) Find the constant term in this exparsion.

(Total 6 marks)
8.
Find the coefficient ofx3 in the expansion of(2 x)5.
-
(Total 6 marks)

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