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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.6 Factorization: (a+b)3

 Example: Factorize, 8x3+36x2+54x+27. Solution: Given that, 8x3+36x2+54x+27. We can write this as, (2x)3+3.(2x)2.3+3.2x(3)2+(3)3. This is the form of a3+3.a2.b+3.a.b2+b3 = (a+b)3. Here a = 2x and b = 3, substitute these values in the equation we get, = (2x+3)3. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Factorize, x3+6x2y+12xy2+8y3.(x+2y)3None of these(x+2y)2(x-2y)3 Q 2: Factorize, 8x3+36x2y+54xy2+27y3.(2x+3y)3(2x+3y)2None of these(2x-3y)3 Q 3: Factorize,27x3+54x2+36x+8.None of these(3x-2)3(3x+2)2(3x+2)3 Q 4: Factorize, 8x3+12x2y+6xy2+y3.None of these(2x+y)2(2x+y)3(2x-y)3 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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