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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.10 Factorization: (a-b)2

 Example: Factorize, 9a2-24ab+16b2. Solution: Given that, 9a2-24ab+16b2. We can write this as, (3a)2-2.3a.4b+(4b)2. This is in the form of (a-b)2 = a2-2ab+b2. Here a = 3a and b = 4b, substitute these values in the formula, we get, (3a-4b)2. Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Factorize, 81a2-72ab+16b2. (9a+4b)2None of these(9a-3b)2(9a-4b)2 Q 2: Factorize, 9a2-42ab+49b2.None of these(3a+7b)2(3a-7b)2(9a-7b)2 Q 3: Factorize, 16a2b2-16abc+4c2.None of these(4ab-4c)2(4ab-2c)2(4ab+2c)2 Q 4: Factorize, 25a2-40ab+16b2. (5a-2b)2None of these(5a-4b)2(5a-3b)2 Q 5: Factorize, 36a2-12ab+b2.(6a-b)2(6a-2b)2(6a+b)2None of these Q 6: Factorize, 9a2b2-24abc+16c2. (3ab-3c)2(3ab-2c)2(3ab-4c)2None of these Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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