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Determine if true(2+x)^4=6+x^4

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The expression on the left hand side is,


\begin{gathered} (2+x)^4=((2+x)^2)^2 \\ =(4+x^2+4x)^2 \\ =(16+x^4+16x^2+8x^2+8x^3+32x) \end{gathered}

The expression on the right hand side is ,


16+x^4

Thus,


\text{LHS}\\e RHS

Thus, it it not true.

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