Multiplying Binomial

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

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

• 1

• 1  1

• 1  2  1

• 1  3  3  1

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

Select the correct expansion

• 1 + 4x + 6x² + 4x³ + x⁴

• 1 + 2x + ³/₂ x² + ¹/₂x³ + ¹/₁₆ x⁴

• 1 + 2x + 3x² + 2x³ + ¹/₂ x⁴

• 1 + ¹/₂ x + ¹/₄ x² + ¹/₈x³ + ¹/₁₆ x⁴

• 5x²-37x+40

• 4x²-37x-40

• 4x²+37x+40

• 4x²-37x+40

• x²+11x+16

• x²+5x+24

• x²+11x+24

• 2x²+11x+24

• 7x²+41x+24

• 12x²+32x+24

• 12x²+41x+24

• 12x²+41x+16

• 5x²+16x+8

• 6x²+12x+8

• 6x²+16x+6

• 6x²+16x+8

(5x + 2)(x² - 3x + 6)

Mathematical Equivalence

ON

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³