Question

Write ( 3/2
x + 1 )³ in the expanded form.​

Answer 1

Answer: 27/8³ + 27/4x² + 9/2x + 1

Explanation:

(3/2x + 1)³

Using (a+b)³ = a³ + b³ + 3ab(a+b)

Where a = 3/2x & b = 1

= (3/2x)³ + (1)³ + 3(3/2x)(1)(3/2x+1)

= 27/8x³ + 1 + 9/2x (3/2x+1)

= 27/8³ + 1 + 9/2x (3/2x) + 9/2x × (1)

= 27/8³ + 27/4x² + 9/2x + 1