Question

Please help me! I really need to get this right before 9. Please prove the divisibility of 7^6+7^5-7^4 by 11. Use factoring so you get a number times 11. Just please tell me the number. I need this done asap

Answer 1

Notice that

`7^6+7^5-7^4=7^4(7^2+7-1)=7^4\cdot55=7^4\cdot5\cdot11`

so the number you're looking for is
`7^4\cdot5=12005`.