Pascal's Triangle and Binomial Theorem

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

How many terms would be in the expanded form of (x - 3)⁵ ?

• 5
• 6
• 7
• 8

Expand (x + 2)³

• x³ + 6x² - 12x + 8
• x³ + 6x² + 12x + 8
• x³ - 6x² + 12x - 8
• x³ + 4x² + 12x + 6

Expand (x -1)⁴

• x⁴ + 4x³ - 6x² + 4x - 1
• x⁴ + 4x³ + 6x² + 4x + 1
• x⁴ - 4x³ + 6x² - 4x + 4
• x⁴ - 4x³ + 6x² - 4x + 1

Expand (x + 2)³

• x³ + 6x² - 12x + 8
• x³ + 6x² + 12x + 8
• x³ - 6x² + 12x - 8
• x³ + 4x² + 12x + 6

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

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

• 3240x³
• 3240
• 262440x³
• 262440

 (2x³ + 1)⁵

• 32x ¹⁵ + 80x ¹² + 80x ⁹ + 40x ⁶ + 10x ³ + 1 
• x ²⁰ − 5x  + 10x² −  8y³ + 5x⁴ − y ⁵ 

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

• 4
• -24
• -96
• 216

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

• 2000x³
• 500x³
• 5000x²
• 800x³