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