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MonaLiser
@MonaLiser
August 2022
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Докажите, что (3n-4)^2-h^2 кратно 8.
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rubilovalex
Докажите, что (3n-4)^2-n^2 кратно 8
(3n-4)^2-n^2
=(3n-4-n)*(3n-4+n)=
=(2n-4)*(4n-4)=
=2(n-2)*4(n-1)=
=8(n-2)*(n-1)
так как 8 кратно 8==>>выражение кратно 8
1 votes
Thanks 1
Kixcertborn2
Verified answer
9n^2-24n+16-n^2=8n^2-24n+16=8(n^2-3n+2). 8(n^2-3n+2)/8=n^2-3n+2.
3 votes
Thanks 4
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Answers & Comments
(3n-4)^2-n^2
=(3n-4-n)*(3n-4+n)=
=(2n-4)*(4n-4)=
=2(n-2)*4(n-1)=
=8(n-2)*(n-1)
так как 8 кратно 8==>>выражение кратно 8
Verified answer
9n^2-24n+16-n^2=8n^2-24n+16=8(n^2-3n+2). 8(n^2-3n+2)/8=n^2-3n+2.