Question

(2a-3b)(2a+3b)(2a-3b)=

Answer 1

(2a-3b)(2a+3b)(2a-3b)= (4a²-9b²)(2a-3b)= 8a³-12a²b-18ab²+27b³

Answer 2

To expand the given expression, we can use the formula for expanding a difference of squares:

(a - b)(a + b) = a^2 - b^2

Let's apply this formula to the given expression:

(2a - 3b)(2a + 3b)(2a - 3b)

Using the formula for the first two terms:

(2a - 3b)(2a + 3b) = (2a)^2 - (3b)^2 = 4a^2 - 9b^2

Now we can substitute this result back into the expression:

(4a^2 - 9b^2)(2a - 3b)

Expanding this further using the formula for a difference of squares:

(2a)^2 - (3b)^2 = 4a^2 - 9b^2

So the final expanded form of the expression is:

4a^2 - 9b^2