Разложите на множители: 1) -3х²+12х-12 2) 16m²-(m-n)². Created by CDolphin. algebra-ru

Разложите на множители: 1) -3х²+12х-12 2) 16m²-(m-n)²...

July 2022 1 9 Report

Разложите на множители:
1) -3х²+12х-12
2) 16m²-(m-n)²

Answers & Comments

nedenispolybomy $1) -3x^2+12x-12=-3(x^2-4x-4)=-3(x-2)^2; \\
2) 16m^2-(m-n)^2=16m^2-n^2+2mn-m^2=-n^2+2mn+15m^2= \\
=-n^2+5mn-3mn+15m^2= (-n^2-3mn)+(5mn+15m^2)= \\
=-n(n+3m)+5m(n+3m)= (n+3m)(5m-n)$

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