Question
Factor by grouping. \( 15 r m+20 r-3 p m-4 p \) \( \square \)
Ask by Wang Kelly. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Factor the expression \(15r m + 20r - 3p m - 4p\) by grouping to get \((5r - p)(3m + 4)\).
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To factor by grouping, first group the terms: \((15rm + 20r) + (-3pm - 4p)\). Now, factor out the common factors from each group: \(5r(3m + 4) - p(3m + 4)\). Notice that both groups contain the common binomial \((3m + 4)\): \((5r - p)(3m + 4)\). And there you have it! The expression is factored as \((5r - p)(3m + 4)\).
