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\[(X + 4) ^{3}\] ---- I am lost on the step by step (showing my work) -

|dw:1352972916740:dw|

Its cubed

Oh, okay. Then write it this way:|dw:1352973007354:dw|

Next:
|dw:1352973075697:dw|

\[X ^{2} + X ^{4}+4(X) + 4 (4) + (X + 4)\]

Noe.

Next will be:|dw:1352973489598:dw|

No wait... \[X ^{2 + X (4) + 4(X) 4 (4) + (X + 4)}\]

may not be right, but here's a shot:
(x+4)(x+4)=X ^{2}+8x+16
then multiply that by (x+4)

The working we showed isn't the final step. :P

|dw:1352973951215:dw|

that should give you the answer in the book