(4/7)^3 = (4^3)/(7^3) = 64/343 (≈ 0.187 as a decimal).
64 x cubed minus y cubed is (4x - y)(16x^2 + 4xy + y^2)
1, 8, 27, 64, 125, 216, 343
x3 + 4x2 - 16x - 64 = (x + 4)(x + 4)(x - 4).
The are: 1 8 27 64 125 216 343 512 729 1,000 1,331 and 1,728.
The only common factor of 343 and 64 is 1.
The GCF of 33 and 64 is 1
(4/7)^3 = (4^3)/(7^3) = 64/343 (≈ 0.187 as a decimal).
64 x cubed minus y cubed is (4x - y)(16x^2 + 4xy + y^2)
1, 8, 27, 64, 125, 216, 343
Cubed integers
x3 + 4x2 - 16x - 64 = (x + 4)(x + 4)(x - 4).
3 cube =27 4 cube =64 5 cube =125 6cube=216 so 3 cubed + 4 cubed + 5 cubed = 6 cubed
The are: 1 8 27 64 125 216 343 512 729 1,000 1,331 and 1,728.
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728
x3 + 4x2 + 16x + 64 =x2*(x + 4) + 16(x + 4) = (x + 4)*(x2 + 16) which has no further real factors.
The sequence appears to be alternating between cubes of integers and their negative counterparts. The first number is -4 cubed, the second is 5 cubed, the third is -6 cubed, the fourth is 7 cubed, and the fifth is -8 cubed. Therefore, the next number in the sequence would be 8 cubed, which is 512.