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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.8 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.
 Q 1: Factorize, x2+4xy+4y2-4.(x+2y+2)(x+2y-2)None of these(x-2y+2)(x+2y-2)(x+2y+2)(x+2y+2) Q 2: Factorize,4+12x+9x2-4y2.None of these(2+3x-2y)(2+3x-2y)(2+3x+2y)(2+3x-2y)(2+3x+2y)(2-3x-2y) Q 3: Factorize, x2+6x+9-16y2. None of these(x-3+4y)(x+3-4y)(x+3+4y)(x+3+4y)(x+3+4y)(x+3-4y) Q 4: Factorize, 9x2+12x+4-36y2. (3x+2+6y)(3x-2-6y)(3x-2+6y)(3x+2-6y)(3x+2+6y)(3x+2-6y)None of these Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!