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1. Use Pascal's Triangle to expand the binomial.

(d - 3) 6

d6 - 18d5 + 135d4 - 540d3 + 1,215d2 - 1,458d + 729

d6 + 18d5 + 135d4 + 540d3 + 1,215d2 + 1,458d + 729

d6 - 6d5 + 15d4 - 20d3 + 15d2 - 6d + 1

d6 + 6d5 + 15d4 + 20d3 + 15d2 + 6d + 1

2. Use the Binomial Theorem to expand the binomial. (3v + s) 5

s5 - 5s4v + 10s3v2 - 10s2v3 + 5sv4 - v5

s5 + 15s4v + 90s3v2 + 270s2v3 + 405sv4 + 243v5

s5 + 45s4v + 270s3v2 + 810s2v3 + 1,215sv4 + 729v5

s5 + 15s4 + 90s3 + 270s2 + 405s + 243

3. What is the fourth term of (d - 4b) 3?

b3

-b3

64b3

-64b3

+4
Answers (1)
  1. 30 April, 12:58
    0
    1) (

    d-3) 6

    =1 d6 (-3) 0 + 6 d5 (-3) 1 + 15 d4 (-3) 2 + 20 d3 (-3) 3 + 15 d2 (-3) 4 + 6 d1 (-3) 5 + 1 d0 (-3) 6

    = x6 - 18 x5 + 135 x4 - 540 x3 + 1215 x2 - 1458x+729

    2) s5 + 15s4v + 90s3v2 + 270s2v3 + 405sv4 + 243v5

    3) fourth term is - 64b3
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