1. **State the problem:** Simplify the expression $ (X \times X) + (X \times X) $. 2. **Recall the rules:** Multiplication of the same variable is expressed as exponentiation: $X \times X = X^2$. 3. **Apply the rule:** Replace each $X \times X$ with $X^2$: $$ (X \times X) + (X \times X) = X^2 + X^2 $$ 4. **Combine like terms:** Since both terms are $X^2$, add their coefficients: $$ X^2 + X^2 = 2X^2 $$ 5. **Final answer:** The simplified form of the expression is: $$ 2X^2 $$