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### Middle/High School Algebra, Geometry, and Statistics (AGS) Factorization: (2a+b)2 - c2

 Example: Factorize, 4a2+4ab+b2-c2. Solution: Given that, 4a2+4ab+b2-c2. We can write this as, [(2a)2+2.2a.b+(b)2]-c2 This is in the form of (a+b)2 = a2+2ab+b2. Here a = 2a and b = b, substitute these values in the formula, we get, = (2a+b)2-c2 This is in the form of a2-b2 = (a+b)(a-b) Here a = 2a+b and b = c, Substitute these values in the formula, we get, = (2a+b+c)(2a+b-c) Directions: Solve the following problems. Also write at least 10 examples of your own.

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