Question

Expand the following:

(x – 3y)³

Answer 1

Given: Expand (x – 3y)³

Step-wise calculation:

Using the formula for the cube of a binomial:

(a – b)³ = a³ – 3a²b + 3ab² – b³

Here, a = x and b = 3y.

So, (x – 3y)³ = x³ – 3x²(3y) + 3x(3y)² – (3y)³

Calculate each term:

= x³ – 9x²y + 27xy² – 27y³