Binomial Theorem

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 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 (x−7)²

• x² - 14x + 49

• -x² - 14x - 49

• x² + 14x - 49

• 49x²

Select the coefficients of the 5th Row in Pascal's Triangle

• 1;3;3;1

• 1;4;6;4;1

• 1;5;10;10;5;1

• 1;6;15;20;15;6;1

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

• 640 x²

• 160 x³

• 4 x⁵

• 64 x³

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

• 3240x³

• 3240

• 262440x³

• 262440

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

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

• 2000x³

• 500x³

• 5000x²

• 800x³