\[ (x+7)(x-7) \] The answer is \( \square \). (Simplify your answer.)
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Beyond the Answer
The expression \((x+7)(x-7)\) is a difference of squares, which simplifies to \(x^2 - 49\). So, the answer is \(x^2 - 49\). To take a fun trip down memory lane, did you know that the difference of squares formula has been used since ancient times? Mathematicians like Al-Khwarizmi were laying down the groundwork for algebra and using methods similar to what we practice today! In real life, difference of squares pops up in physics, particularly in kinematics! For instance, if you're calculating the difference in squared distances when analyzing projectile motion, this technique can help simplify your calculations efficiently. Who knew algebra could help you ace your physics homework too?
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