Разложите на множители Помогите :)а) а ³ - 2а ² + 18 - 9а б) а ³ b² + 27 а ² b ³в) 16х + 8х² + х ³. Created by Ma4sha. algebra-ru

Разложите на множители Помогите :)а) а ³ - 2а ² + 18

Ma4sha @Ma4sha

July 2022 1 7 Report

Разложите на множители Помогите :)
а) а ³ - 2а ² + 18 - 9а
б) а ³ b² + 27 а ² b ³
в) 16х + 8х² + х ³

Answers & Comments

inblu

Verified answer

$a^{3}-2a^{2}+18-9a=a^{2}(a-2)+9(2-a)=a^{2}(a-2)-9(a-2)= \\ =(a-2)(a^{2}-9)=(a-2)(a-3)(a+3) \\ a^{3}b^{2}+27a^{2}b^{3}=a^{2}b^{2}(a+27b) \\ 16x+8x^{2}+x^{3}=x(16+8x+x^{2})=x(4+x)^{2}$

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