expansions

Method of writing expansion for (a+b) n - Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is incre..

For n N, we have: a) (a - b) n (a +(- b))..

Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is increased by one. So, the second term is n C 1 a..

Approximate the value of (1.04) 8 by using the first two terms of a binomial expansion. => 3.12 or 0.68 or 0.32 or 1.32..

Sid plans to expand the existing square flowerbed by quadrupling its dimensions. What sort of change does this expansion bring in the area of the square flowerbed? => The area decreases by 16 times. or The area doesn′t change. or The area increases by 16 times. or The area increases..

Fred plans to expand the existing square flowerbed of sides 5 feet each by tripling its dimensions. What sort of change does this expansion bring in the area of the square flowerbed? => The area decreases from 225 ft 2 to 25 ft 2 . or The area increases from 25 ft 2 to 225 ft 2 . or The a..

Find the fifth term of the binomial expansion (3 - x ) 6 . => 105 x 5 or -135 x 4 or 235 x 5 or 135 x 4..

Find the 12 th term of the binomial expansion (1 - x ) 12 . => - 12 x 11 or 12 x 11 or - 11 x 12 or 11 x 12..

State the number of terms in the expansion of ( k + l ) 7 and give the first and last terms. => 8, k 7 l , kl 7 or 7, k 8 , l 8 or 8, k 7 , l 7 or 7, k 7 , l 7..

A binomial expansion has 10 terms. The first term is - x 9 and the last term is 19683. Find the third and fourth terms. => 9 x 7 , - 27 x 6 or - 9 x 7 , 27 x 6 or 3 x 8 , - 9 x 7 or 9 x 7 , 27 x 6..