Binomial Expansion and Pascal's Triangle

Expand (x + 2)³

• x³ + 6x² - 12x + 8

• x³ + 6x² + 12x + 8

• x³ - 6x² + 12x - 8

• x³ + 4x² + 12x + 6

• A
• B
• C
• D

If the top row of Pascal's Triangle is row 0, then what is the sum of the numbers in the eighth row?

• 255

• 256

• 257

• 260

• 264

• A
• B
• C
• D

• A
• B
• C
• D

How many terms are the in the expansion of (1+b)⁵

• 5

• 6

• 25

• 50

• 3

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³

• 3240

• 262440x³

• 262440

Expand (d-5)⁵

• d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

• d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

• d⁴ - 20d³ + 150d² - 750d + 3125

• d⁴ + 20d³ + 150d² + 750d + 3125

Expand
(b - 2)³

• b³ - 2b² + 4b - 8

• 5b³ - 20b² + 40b - 40

• b³ - 6b² + 12b - 8

• 4b³ - 12b² + 16b - 8

Find the 2nd term in the expansion of 
(2b + 1)³

• 12b²

• 6b

• 8b³

• 4b²