desirer202 desirer202

14-12-2018
Mathematics

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Which of the following is the binomial factor in the factorization of m ^15 - 1,000?
m5 - 10
m5 + 10
m5 + 100
m3 + 10

Respuesta :

14-12-2018

[tex]Use\ (a^n)^m=a^{nm}\ and\ a^3-b^3=(a-b)(a^2+ab+b^2).\\\\m^{15}=m^{5\cdot3}=(m^5)^3\\\\m^{15}-1,000=(m^5)^3-10^3=(m^5-10)[(m^5)^2+(m^5)(10)+10^2]\\\\=(m^5-10)(m^{10}+10m^5+100)\\\\Answer:\ \boxed{m^5-10}[/tex]

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