Mathematics, 28.06.2019 02:30, krystalhurst97
Which of the following is the binomial factor in the factorization of m ^15 - 1,000? m5 - 10 m5 + 10 m5 + 100 m3 + 10
Answers: 1
![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)\\\\\ \boxed{m^5-10}](/tpl/images/0025/5590/79d76.png)
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Which of the following is the binomial factor in the factorization of m ^15 - 1,000? m5 - 10 m5 + 1...
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