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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.11 Factorization: (a+b)2 with Binomial Factors

 Example: Factorize, (x+3y)2+2.(x+3y).(x-y)+(x-y)2. Solution: Given that, (x+3y)2+2(x+3y)(x-y)+(x-y)2. Clearly this is in the form of (a+b)2=a2+2ab+(b)2. Here a = x+3y and b = x-y Substitute these values in the formula, we get, = (x+3y+x-y)2. = (2x+2y)2. Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Factorize, (2x-y)2+2.(2x-y).(x+2y)+(x+2y)2.(3x+y)2(3x-y)2(5x+4y)2(3x+2y)2 Question 2: This question is available to subscribers only!

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