Binomial Coefficient

Find the coefficient of x³ in the expansion of (1 + x)²⁰

• 1140

• 190

• 4845

• 8000

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

Select the correct expansion

• 1 + 4x + 6x² + 4x³ + x⁴

• 1 + 2x + ³/₂ x² + ¹/₂x³ + ¹/₁₆ x⁴

• 1 + 2x + 3x² + 2x³ + ¹/₂ x⁴

• 1 + ¹/₂ x + ¹/₄ x² + ¹/₈x³ + ¹/₁₆ x⁴

Find the coefficient of x⁴ in the expansion of (1 - x)¹⁴

• 1001

• -1001

• 364

• -364

Find the coefficient of x² in the expansion of (1 + 4x)⁹

• 576

• 36

• 144

• 1344

Find the coefficient of y³ in the expansion of (1 - 3y)¹⁴

• -9828

• 9828

• 364

• -364

Select the correct expansion of (1 + x)⁴

• 1 + 4x + 6x² + 4x³ + x⁴

• x + 3x² + 3x³ + x⁴

• 1 + 5x + 10x² + 5x³ + x⁴

• 1 + 2x² + x⁴

Select the correct expansion of

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³

Find the expansion

• a⁵ − 5a⁴b + 10a³b² − 10a²b³ + 5ab⁴ − b⁵

• a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

• a⁵ - 5a⁴b - 10a³b² - 10a²b³ - 5ab⁴ - b⁵

• a⁵ − 5ab + 10ab − 10ab + 5ab − b⁵