8. Factorize : 8x3 − 8x – 3
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Step 1 : Equation at the end of step 1 : 23x3 + 125.
Step 2 : Trying to factor as a Sum of Cubes : 2.1 Factoring: 8x3+125. Theory : A sum of two perfect cubes, a3 + b3 can be factored into : (a+b) • (a2-ab+b2) Proof : (a+b) • (a2-ab+b2) = a3-a2b+ab2+ba2-b2a+b3 = a3+(a2b-ba2)+(ab2-b2a)+b3= a3+0+0+b3= a3+b3
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