Respuesta :

(x - 2y)(x - 2y)(x - 2y) 

but it's better to use the binomial expansion theorem. For this the binomial expansion looks like this 
C(3,0)(x)³(-2y)⁰ + C(3,1)(x)²(-2y)¹ + C(3,2)(x)¹(-2y)² + C(3,3)(x)⁰(-2y)³ 

C(n,k) = n! / k!(n - k)! 
This is called the binomial coefficient but it also shows up in combinatorics as combinations of groups. 

(1)(x³)(1) + (3)(x²)(-2y) + (3)(x)(4y²) + (1)(1)(-8y³) 
x³ - 6x² + 12xy² - 8y³ 


It looks complicated, but trust me the first idea is much worse when you get to higher powers whereas the second doesn't get any more complicated, you just add more terms.
The solution to the problem is as follows:

(x+2y)^3 = (x+2y) × (x+2y) × (x+2y)
= (x^2 + 4xy + 4y^2) (x + 2y)
= x^3 + 2x^2y + 4x^2y + 8xy^2 + 4xy^2 + 8y^3

= x^3 + 6x^2y + 12xy^2 + 8y^3

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!