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malygin57
@malygin57
July 2022
1
5
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Преобразуйте в многочлен два выражения:
(2х+1)(Х-4)
(Х-3)(Х+5)(Х-3)(Х-5)
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ShirokovP
Verified answer
(2x + 1)(x - 4) = 2x^2 - 8x + x - 4 = 2x^2 - 7x - 4
(x - 3)(x + 5)(x - 3)(x - 5) = (x - 3)^2 (x - 5)(x + 5) =
= (x^2 - 6x + 9)(x^2 - 25) =
= x^2 (x^2 - 25) - 6x(x^2 - 25) + 9(x^2 - 25) =
= x^4 - 25x^2 - 6x^3 + 150x + 9x^2 - 225 =
= x^4 - 6x^3 - 16x^2 + 150x - 225
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Answers & Comments
Verified answer
(2x + 1)(x - 4) = 2x^2 - 8x + x - 4 = 2x^2 - 7x - 4(x - 3)(x + 5)(x - 3)(x - 5) = (x - 3)^2 (x - 5)(x + 5) =
= (x^2 - 6x + 9)(x^2 - 25) =
= x^2 (x^2 - 25) - 6x(x^2 - 25) + 9(x^2 - 25) =
= x^4 - 25x^2 - 6x^3 + 150x + 9x^2 - 225 =
= x^4 - 6x^3 - 16x^2 + 150x - 225