Pascal's Triangle and Binomial Expansion

What is row 5 of Pascal's Triangle?

• 1, 2, 1

• 1, 3, 3, 1

• 1, 4, 9, 4, 1

• 1, 5, 10, 10, 5, 1

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1

• 1  1

• 1  2  1

• 1  3  3  1

How do you know what row of Pascal's triangle to use to expand a binomial?

• You use the row that has the same number of terms as the exponent

• You use the row that has the exponent number as it's second term

• You use the row that is on the bottom of the triangle

• You just guess

Multiply (x + y)⁵

• x⁵ + x⁴y + x³y² + x²y³ + xy⁴ + y⁵

• x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

Select the correct expansion of (1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

• A
• B
• C
• D

• 6y⁴ - 60y³ + 320y² - 960y + 1536
• y⁴ - 16y³ + 96y² - 320y + 256 

Multiply the binomial: (x + 3)³

• x³ + 3x² + 3x + 1

• 27x³ + 27x² + 9x + 1

• I don't know

• x³ + 9x² + 27x + 27