Problema 9
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (x+2)³
Problema 11
Use the Binomial Theorem to expand each binomial and express the result in simplified form.
Problema 13
Use the Binomial Theorem to expand each binomial and express the result in simplified form.
Problema 15
Use the Binomial Theorem to expand each binomial and express the result in simplified form.
Problema 17
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (x²+2y)4
Problema 19
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (y-3)4
Problema 21
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (2x3 − 1)4
Problema 23
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (c+2)5
Problema 25
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (x − 1)5
Problema 27
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (3x − y)5
Problema 29
Use the Binomial Theorem to expand each binomial and express the result in simplified form. (2a + b)6
Problema 31
Write the first three terms in each binomial expansion, expressing the result in simplified form. (x+2)8
Problema 33
Write the first three terms in each binomial expansion, expressing the result in simplified form. (x - 2y)10
Problema 35
Write the first three terms in each binomial expansion, expressing the result in simplified form. (x2 + 1)16
Problema 37
Write the first three terms in each binomial expansion, expressing the result in simplified form. (y3 − 1)20
Problema 39
Find the term indicated in each expansion. (2x + y)6; third term
Problema 41
Find the term indicated in each expansion. (x − 1)9; fifth term
Problema 43
Find the term indicated in each expansion. (x2 + y3)8; sixth term
Problema 45
Find the term indicated in each expansion. (x − 1/2)9; fourth term
Problema 47
Find the term indicated in each expansion. (x2 + y)22; the term containing y14
Problema 49
Use the Binomial Theorem to expand each expression and write the result in simplified form. (x3 +x-2)4
Problema 51
Use the Binomial Theorem to expand each expression and write the result in simplified form. (x1/3 +x-1/3)3
Problema 53
Find f(x + h) − f(x)/h and simplify. f(x) = x4+7
Problema 55
Find the middle term in the expansion of (3/x + x/3)10
Problema 81
Use the Binomial Theorem to expand and then simplify the result: (x2 +x+ 1)3.
Problema 82
Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.
Problema 88
Graph: f(x) = -2(x − 1)² (x + 3).
Problema 89
Evaluate n!/(n-r)! for n = 20 and r = 3
Problema 90
Evaluate n!/(n-r)!r! for n = 8 and r = 3
Ch. 8 - Sequences, Induction, and Probability
