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nine4
@nine4
August 2022
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помогите сделать номер 32.7
Разложите многочлен на множители.
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Pacanka202
А) 16ab^2+5b^2c+10c^3+32ac^2 =
= 16a(b^2+2c^2)+5c(b^2+2c^2) =
= (b^2+2c^2)(16a+5c)
б) 20n^2–35a–14an+50n =
=10n(2n+5)–7a(5+2n)=(2n+5)(10n–7a)
в) 18a^2+27ab+14ac+21bc =
= 9a(2a+3b)+7c(2a+3b) =
= (2a+3b)(9a+7c)
г) 2х^2yz–15yz–3xz^2+10xy^2 =
= 2xy(xz+5y)–3z(5y+xz) =
= (5y+xz)(2xy–3z)
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Answers & Comments
= 16a(b^2+2c^2)+5c(b^2+2c^2) =
= (b^2+2c^2)(16a+5c)
б) 20n^2–35a–14an+50n =
=10n(2n+5)–7a(5+2n)=(2n+5)(10n–7a)
в) 18a^2+27ab+14ac+21bc =
= 9a(2a+3b)+7c(2a+3b) =
= (2a+3b)(9a+7c)
г) 2х^2yz–15yz–3xz^2+10xy^2 =
= 2xy(xz+5y)–3z(5y+xz) =
= (5y+xz)(2xy–3z)