Q3) Show that \((a + b)^2 = a^2 + b^2\) in modular arithmetic $Z_3$.
Added by Gabriel W.
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In Z3, the numbers are represented by remainders when divided by 3. So, we have the numbers 0, 1, and 2. Now, let's consider the equation (a + b)^2 = a^2 + b^2 in Z3. We can start by expanding the left side of the equation: (a + b)^2 = (a + b)(a + b) Show more…
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