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### Middle/High School Algebra, Geometry, and Statistics (AGS)3.2 Factorization: a3 - b3

 Example: Factorize, 27x3-8. Solution: Given that, 27x3-8. We can write this as, = (3x)3-(2)3 This is in the form of a3-b3 = (a-b)(a2+ab+b2) here, a = 3x and b = 2, substitute these value in the above equation, we get = (3x-2)(9x2+6x+4) Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Factorize, x3-8.None of these(x+2)(x2+2x+4)(x-2)(x2+2x+4)(x-2)(x2-2x+4) Q 2: Factorize, 27x3-64.(3x+4)(9x2+12x+16)None of these(3x-4)(9x2-12x+16)(3x-4)(9x2+12x+16) Q 3: Factorize, 8x3-125.(2x-5)(4x2+10x+25)(2x+5)(4x2+10x+25)None of these(2x-5)(4x2-10x+25) Q 4: Factorize, 64x3-27.(4x+3)(16x2+12x+9)(4x-3)(16x2+12x+9)None of these(4x-3)(16x2-12x+9) Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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