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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.

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

 Q 1: Factorize, (2x+3y)2+2.(2x+3y).(x+y)+(x+y)2.(3x+4y)2(5x+4y)2(3x+3y)2(2x+3y)3 Q 2: Factorize, (2x-y)2+2.(2x-y).(x+2y)+(x+2y)2.(3x+2y)2(5x+4y)2(3x+y)2(3x-y)2 Q 3: Factorize, (3x+y)2+2.(3x+y)(x+y)+(x+y)2. (4x+3y)2(4x+2y)2(4x-2y)2(4x+4y)2 Q 4: Factorize, (4x+5y)2+2.(4x+5y).(2x-6y)+(2x-6y)2. (5x+6y)2(6x+y)2(6x-y)2(6x-2y)2 Q 5: Factorize, (3x+5y)2+2.(3x+5y).(2x-y)+(2x-y)2. (5x+3y)2(5x+4y)2(5x-4y)2(5x+2y)2 Q 6: Factorize, (4x+7y)2+2.(4x+7y).(5x-2y)+(5x-2y)2. (9x+5y)2(9x-3y)2(9x+4y)2(9x-5y)2 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!