Question

medal awarded
Choose one of the factors of 27x3 + 512y3

a) 3

b)3x – 8y

c)9x2 – 24xy + 64y2

d)9x2 + 24xy + 64y2

Answer 1

i cant figure out how to do this

Answer 2

can you help me hexagon001

Answer 3

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

Answer 4

im scratching my head too

Answer 5

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

Answer 6

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)

Answer 7

so, it is C
@ladiesman217