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

Expand

• A

• B

• C

• D

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

• 2x⁴ + 40x³ + 300x² + 1000x + 625

• 16x⁴ + 160x³ + 600x² + 1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x + 625

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• 
• 

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

• 3240x³

• 3240

• -262440x³

• -262440

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

• 4

• -24

• -96

• 216

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

• 3240x³

• 3240

• 262440x³

• 262440

What is the third term in the expansion of (x + 4)⁵?

• 640 x²

• 160 x³

• 4 x⁵

• 64 x³

• 1024

• 32768

• 1080

• 16777216