We want to factor the following expression: x^(3)-25 Which pattern can we use to factor the expression? U and V are either constant integers or single-variable expressions. Choose 1 answer: (A) (U+V)^(2) or (U-V)^(2) (B) (U+V)(U-V) (C) We can't use any of the patterns.

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Identify expression: Identify the expression to be factored. The expression given is $x^3 - 25$. We need to find a pattern to factor this expression. Recognize pattern: Recognize the pattern applicable for the expression. The expression $x^3 - 25$ can be seen as a difference of cubes, where $x^3$ is a cube and $25$ can be written as $5^3$. Therefore, the expression can be rewritten as $x^3 - 5^3$. The pattern for factoring a difference of cubes is $(U^3 - V^3) = (U - V)(U^2 + UV + V^2)$, where $U$ and $V$ are either constant integers or single-variable expressions. Apply pattern: Apply the pattern to factor the expression. Using the pattern for the difference of cubes, we can factor $x^3 - 5^3$ as follows: Let $U = x$ and $V = 5$, then $(x^3 - 5^3) = (x - 5)(x^2 + 5x + 25)$.

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