Understanding and applying the binomial theorem

What is the 6th term in the expansion of (x + 3)⁵?

• 243
• x⁵
• 243x⁵
• 90x³

• 32

• -400

• 2000

• -5000

Expand: (2x - 3)²

• 2x² - 12x - 9
• 4x² - 9
• 4x² + 9
• 4x² - 12x + 9

Expand  $\left(x-y\right)^4$  

•  $x^4-4x^3y+6x^2y^2-4xy^3+y^4$  

•  $x^4+4x^3+6x^2+4x+1$  

•  $x^4+4x^3y^3+6x^2y^2+4xy+1$  

•  $x^4+4x^3y+6x^2y^2+4xy^3+y^4$  

The coefficient of a³b in the expansion of (4b+3a)⁴

• 108

• 432

• 768

• 81

(a+b)^3

• a^3 - b^3+3ab(a-b)

• a^3 + b^3+3ab(a-b)

• a^3 - b^3-3ab(a-b)

• a^3 + b^3+3ab(a+b)

 (x − y) ³ 

• x³ − 3x² y + 3xy² − y³
• 16m ⁴ − 32m ³ + 24m ² − 8m + 1 

• -22680

• 15120

• -6048

• 1344

Multiply the binomial: (x - 2)⁴

• x⁴ + -8x³ + 24x² + 32x + 16

• -x⁵ + 8x⁴ - 24x³ + 32x² - 32

• x⁵ + 8x⁴ + 24x³ + 32x² + 32

• x⁵ - 4x⁴ + 6x³ - 4x² + 1