Question Factor completely. \[ x^{2}-25 \] Show Examp Answer Attempt 1 out of 2 \( \square \)
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Beyond the Answer
This expression is a difference of squares, which can be factored using the formula \( a^2 - b^2 = (a - b)(a + b) \). In this case, \( x^2 \) is \( a^2 \) and \( 25 \) is \( b^2 \) (since \( b = 5 \)). So, we can write the factorization as \( (x - 5)(x + 5) \). When factoring expressions like this, it’s easy to forget to check if the components can be factored further. In this case, both \( x-5 \) and \( x+5 \) are already in their simplest form, as they are linear polynomials. Always ensure each component is as simplified as possible!