The Binomial Theorem

What is the third term for the expansion (2x-5)⁵?

• 2000x³
• 500x³
• 5000x²
• 800x³

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4
• -24
• -96
• 216

Find the fourth term of the expansion (5+3y)⁵.

• 2025y⁴
• 750y³
• 75y⁴
• 6750y³

State the coefficient for the a⁴b² term of (2a - 3b)⁶.

• -90
• 2160
• 15
• -3240

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

What is row 5 of Pascal's Triangle?

• 1, 2, 1
• 1, 3, 3, 1
• 1, 4, 9, 4, 1
• 1, 5, 10, 10, 5, 1

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1
• 1, 5, 10, 10, 5, 1
• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

Expand
(b - 2)³

• b³ - 2b² + 4b - 8
• 5b³ - 20b² + 40b - 40
• b³ - 6b² + 12b - 8
• 4b³ - 12b² + 16b - 8