Factor. 14p^3 - 7p^2 + 10p - 5 ______

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Identify Common Factors: Step Title: Identify Common Factors in Pairs of Terms Concise Step Description: Look for common factors in pairs of terms to simplify the expression by grouping. Step Calculation: The first two terms, 14p^3 and -7p^2, have a common factor of 7p^2. The last two terms, 10p and -5, have a common factor of 5. Step Output: Grouped terms: (14p^3 - 7p^2) + (10p - 5)Factor Out Common Factors: Step Title: Factor Out the Common Factors Concise Step Description: Factor out the common factors identified in the previous step from each pair of terms. Step Calculation: Factoring out 7p^2 from the first group gives 7p^2(2p - 1). Factoring out 5 from the second group gives 5(2p - 1). Step Output: Factored groups: 7p^2(2p - 1) + 5(2p - 1)Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Since both groups contain the common binomial factor (2p - 1), factor this out of the entire expression. Step Calculation: Factoring (2p - 1) out of the entire expression gives (2p - 1)(7p^2 + 5). Step Output: Factored expression: (2p - 1)(7p^2 + 5)

Factor. $\newline$ $14p^3 - 7p^2 + 10p - 5$

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Factor.\newline14p3−7p2+10p−514p^3 - 7p^2 + 10p - 514p3−7p2+10p−5

Factor. $\newline$ $14p^3 - 7p^2 + 10p - 5$