Question

Choose one of the factors of 27x^3 + 512y^3.


3
3x - 8y
9x^2 - 24xy + 64y^2
9x2 + 24xy + 64y2

Answer 1

Also, I will give a medal, and if you could teach me how to do it I would love it!

Answer 2

I am pretty sure it is 3x - 8y you will want to check to make sure though

Answer 3

Can you tell me how to get that answer?

Answer 4

let me look more into it and I will get back to you

Answer 5

use the formula :
a^3 + b^3 = (a+b)(a^2 - ab + b^2)

27x^3 + 512y^3 = (3x)^3 + (8y)^3

now, use the formula above to get of factors
a^3 + b^3 = (a+b)(a^2 - ab + b^2)

we have (3x)^3 + (8y)^3
it means a = 3x and b = 8y

therefore,
(3x)^3 + (8y)^3 = (3x+8y)((3x)^2 - 3x(8y) + (8y)^2)
(3x)^3 + (8y)^3 = (3x+8y)(9x^2 - 24xy + 64y^2)

so, it is C

I found your problem already answered hopefully this helps.