Subjects algebra

Expand Expression 25Dddc

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Question: Expand the expression: $(x + 8)(x - 8)$
1. **State the problem:** We need to expand the expression $$(x + 8)(x - 8)$$. 2. **Recall the formula:** This is a product of conjugates, which follows the difference of squares formula: $$ (a + b)(a - b) = a^2 - b^2 $$ 3. **Apply the formula:** Here, $a = x$ and $b = 8$, so: $$ (x + 8)(x - 8) = x^2 - 8^2 $$ 4. **Calculate the square:** $$ 8^2 = 64 $$ 5. **Write the final expanded form:** $$ x^2 - 64 $$ **Answer:** The correct expansion is $x^2 - 64$.