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Factoring Question

The question is 125x^3-8. 

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Meena S. | Patient & knowledgeable Mathematics & Statistics (SPSS) TutorPatient & knowledgeable Mathematics & St...
4.5 4.5 (57 lesson ratings) (57)
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Hi Melanie,
 
125x^3- 8
 
=(5x-2)(25x^2+10x+4)........using a^3+b^3=(a+b)(a^2-ab+b^2)
 
 
 
 
Meena
Alex S. | UConn Chemical Engineering Student Tutoring Math and ChemistryUConn Chemical Engineering Student Tutor...
5.0 5.0 (12 lesson ratings) (12)
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This is in the form a3 - b3, where a is 5x and b is 2. The factoring formula is a3 - b3 = (a - b)*(a2 + ab + b2).

125x3 +27 = (5x)3 - 23 = (5x - 2)(25x2 + 10x + 4)