9.2 The Binomial Theorem

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625
• 16x⁴ + 160x³ +600x² +1000x + 625
• 16x⁴ + 1000x³ + 600x² + 160x +625

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

• 3240x³
• 3240
• 262440x³
• 262440

Find the coefficient of the x³ in (2x+1)¹²

• 112640
• 440
• 1760
• 440x³

Find the coefficient of the x² term in (2x-3)⁹

• 41472x²
• 41472
• -314928x²
• -314928

Find the coefficient of the x⁹ term in (3x-1)¹²

• -5940x⁹
• -4330260
• -4330260x⁹
• -5940

Find the coefficient of the x⁵ term in (5x+1)¹¹.  

• 1443750x⁵
• 1443750
• 7218750x⁵
• 7218750

Find the 3rd term in the expansion of (x-3)⁷

• -5103x²
• 189x⁵
• 189
• -5103

Find the 6th term in the expansion of (3x+2)⁸

• 108864x⁵
• 48384x³
• 108864x³
• 48384x⁵

Find the 4th term in the expansion of (4x-3)⁵.

• 5760
• -4320x²
• 5760x³
• -4320

Find the 9th term in (2x-5)¹¹. 

• 515625000x³
• 5280000x⁸
• 525625000
• 5280000