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