Question

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

(d – 3)6 (1 point)
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 (1 point)
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? (1 point) b3
–b3
64b3
–64b3