What is the expanded form of the expression

0^3 + 3^3
0^3 + 1^3 + 2^3
1^3 + 2^3 + 3^3
0^3 + 1^3 + 2^3 + 3^3

Expression - https://static.k12.com/eli/ecollege/1547/2_80389/2_68277_1_80551/5e53a9ae2b1d524c675bd1a9b58db99702ce2fc2/media/3cfed113ce8949f709d62d82191b3ddd7c275fb0/mediaasset_1072027_1.gif

@mustafa2014

Question

What is the expanded form of the expression

0^3 + 3^3
0^3 + 1^3 + 2^3
1^3 + 2^3 + 3^3
0^3 + 1^3 + 2^3 + 3^3

Expression - https://static.k12.com/eli/ecollege/1547/2_80389/2_68277_1_80551/5e53a9ae2b1d524c675bd1a9b58db99702ce2fc2/media/3cfed113ce8949f709d62d82191b3ddd7c275fb0/mediaasset_1072027_1.gif

@mustafa2014

anonymous · Answer

$$\sum_{j=0}^{3}j^3=(0)^3+(1)^3+(2)^3+(3)^3$$

anonymous · Answer

its d