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xtywjdf
@xtywjdf
July 2022
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( а+1 )( а+2)( а²+4)(а²+1)(а-2)(а-1) преобразовать в многочлен
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Freakazoid
Verified answer
(a+1)(a+2)(a²+4)(a²+1)(a-2)(a-1)
(a+1)(a-1) = (a²-1)
(a²+1)(a²-1) = (a⁴-1)
(a+2)(a-2) = (a²-4)
(a²+4)(a²-4) = (a⁴-16)
(a⁴-1)(a⁴-16) = a⁸-16a⁴-a⁴+16 = a⁸-17a⁴+16
1 votes
Thanks 1
Freakazoid
всё по формуле a^2-b^2 = (a-b)(a+b)
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Answers & Comments
Verified answer
(a+1)(a+2)(a²+4)(a²+1)(a-2)(a-1)(a+1)(a-1) = (a²-1)
(a²+1)(a²-1) = (a⁴-1)
(a+2)(a-2) = (a²-4)
(a²+4)(a²-4) = (a⁴-16)
(a⁴-1)(a⁴-16) = a⁸-16a⁴-a⁴+16 = a⁸-17a⁴+16