Polynomial Expansion

What is the expanded form of the polynomial (4x + 3)(4x - 3)?

• 16x^2 - 9

• 16x^2 + 12x - 9

• 16x^2 + 9

• 16x^2 + 12x + 9

Expand (4x + 2y)³

• 64x³ + 96x²y + 48xy² + 8y³

• 4x³ + 24x²y + 24xy² + 2y³

• 64x³ + 32x²y + 16xy² + 8y³

• 64x³ + 24x²y + 48xy² + 8y³

Expand (a - b)⁵

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

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

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

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

What is the fourth term of (n + 2m)⁵

• 80nm⁴

• 80n²m³

• 160nm⁴

• 40n²m³

How many terms does (x + y)¹⁶ have when expanded completely?

• 15

• 16

• 17

• not enough information

Find the sixth term in the sequence (x + y)⁹

• 84x⁶y³

• 84x³y⁶

• 126x⁴y⁵

• 126x⁵y⁴

Find the fifth term in the expansion of (x - 2y)⁶

• -192xy⁵

• 192xy⁵

• -240x²y⁴

• 240x²y⁴

Find the third term in the expansion of (x + 4y)⁷

• 336x⁵y²

• 21504x²y⁵

• 2240x⁴y³

• 8960x³y⁴

In the expansion of (x + y) ¹¹ which term has x⁴ ?

• 330x³y⁸

• 165x⁴y⁷

• 330x⁴y⁷

• 165x³y⁸

In the expansion of (x - 3y)⁶ which term has y² ?

• 1215x⁴y²

• -1215x⁴y²

• 135x⁴y²

• -135x⁴y²