isthisaname921 isthisaname921

21-02-2019
Mathematics

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I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______719 :D

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LammettHash LammettHash

21-02-2019

Each term has a common divisor of [tex]12^{11}[/tex]:

[tex]12^{13}-12^{12}+12^{11}=12^{11}(12^2-12+1)=12^{11}\cdot133[/tex]

133 = 7*19, so the number in the blanks is [tex]12^{11}[/tex].

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