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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.12 Factorization: c(a+b)2

 Example: Factorize, x3+8x2+16x. Solution: Given that, x3+8x2+16x. We take x as common, x(x2+8x+42) This is in the form of (a+b)2 = a2+2ab+b2. Here a = x and b = 4, substitute these values in the formula, we get, x(x+4)2. Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Factorize,9x3+12x2y+4xy2.x(3x-2y)2(3x+2y)2None of thesex(3x+2y)2 Q 2: Factorize, 16x3+8x2y+xy2.x(4x-y)2x(4x+y)2None of these(4x+y)2 Q 3: Factorize, 49x3+24x2+9x. (7x+3)2x(7x+3)2None of thesex(7x-3)2 Q 4: Factorize, x3+2x2y+xy2. x(x-y)2None of thesex(x+y)2(x+y)2 Q 5: Factorize, x3+6x2y+9xy2.None of these(x+3y)2x(x-3y)2x(x+3y)2 Q 6: Factorize, 4x3+12x2y+9xy2.x(2x+3y)2None of these(2x+3y)2x(2x+y)2 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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