Factor Fully. 36(5y-2)^(2)-49(3-2y)^(2)

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Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the given expression is in the form of a difference of squares, which is a^2 - b^2 = (a + b)(a - b). Step Calculation: The expression can be written as [6(5y-2)]^2 - [7(3-2y)]^2. Step Output: Recognized the expression as a difference of squares.Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Apply the difference of squares formula to factor the expression. Step Calculation: Factoring the expression using the formula gives us (6(5y-2) + 7(3-2y))(6(5y-2) - 7(3-2y)). Step Output: Factored expression using the difference of squares.Simplify Each Factor: Step Title: Simplify Each Factor Concise Step Description: Simplify the expressions inside the parentheses for each factor. Step Calculation: Simplify to get (30y - 12 + 21 - 14y) and (30y - 12 - 21 + 14y). Step Output: Simplified factors to (16y + 9) and (44y - 33).Factor Out Common Terms: Step Title: Factor Out Common Terms Concise Step Description: Factor out any common terms from the simplified factors. Step Calculation: There are no common factors to factor out from (16y + 9) and (44y - 33). Step Output: No further factoring possible for the simplified factors.Check for Additional Factoring: Step Title: Check for Additional Factoring Concise Step Description: Check if the simplified factors can be factored further. Step Calculation: Neither (16y + 9) nor (44y - 33) can be factored further as they do not have common factors or are not perfect squares. Step Output: No additional factoring possible.

Factor Fully. $\newline$ $36(5 y-2)^{2}-49(3-2 y)^{2}$

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Factor Fully.\newline36(5y−2)2−49(3−2y)236(5 y-2)^{2}-49(3-2 y)^{2}36(5y−2)2−49(3−2y)2

Factor Fully. $\newline$ $36(5 y-2)^{2}-49(3-2 y)^{2}$