1 Answer

Daan Wilmer · Answer 1 · 2023-04-10T20:52:05+0000

The expression:

Looks like the factorization of a difference of squares, being those squares x^2 and 25. Then, correct answer wil be C, the only available option where we have a difference of squares. We can check this by performing the product:

$(x-5)(x+5)=x\cdot x+5x-5x-5\cdot5$

We just performed "FOIL method" for the product of binomials. Multiplication of the First terms, then the Outer, then the Inner and finally the Last terms.

Reorganizing the expression, and simplifying like terms:

$\begin{gathered} (x-5)(x+5)=x^2+5x-5x-25 \\ (x-5)(x+5)=x^2-25 \end{gathered}$

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