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10-06-2016
Mathematics

contestada

What polynomial identity should be used to prove that 117= 125 - 8?

Difference of Cubes

Difference of Squares

Square of Binomial

Sum of Cubes

Respuesta :

HomertheGenius HomertheGenius

11-06-2016

[tex]a^{3}-b^{3} =(a-b)(a^{2} +ab+b^{2} )[/tex]125-8=[tex]5^{3} -2^{3} =(5-2)( 5^{2} +5*2+2^{2} )=3*(25+10+4)[/tex]=3*39=117
Answer: Difference of Cubes.

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