Factor completely. 49m^(2)-126 mn+81n^(2)=

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Factor completely.  49m^(2)-126 mn+81n^(2)=

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation in terms of m and n. Step Calculation: Coefficients are 49, -126, and 81. Step Output: Coefficients: 49, -126, 81Check for Common Factor: Step Title: Look for a Common Factor Concise Step Description: Check if there is a common factor that can be factored out from all terms. Step Calculation: The greatest common factor of 49, 126, and 81 is 1, so there is no common factor other than 1. Step Output: No common factor other than 1.Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (49*81) and add to the middle coefficient (-126). Step Calculation: The product of the first and last coefficients is 49*81 = 3969. We need two numbers that multiply to 3969 and add up to -126. Step Output: Factors of 3969 that add up to -126 are -63 and -63.Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is (7m - 9n)(7m - 9n) or (7m - 9n)^2. Step Output: Factored Form: (7m - 9n)^2

Factor completely. $\newline$ $49 m^{2}-126 m n+81 n^{2}=$

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Factor completely.\newline49m2−126mn+81n2= 49 m^{2}-126 m n+81 n^{2}= 49m2−126mn+81n2=

Factor completely. $\newline$ $49 m^{2}-126 m n+81 n^{2}=$