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Bibi1710
a fost răspuns

Vă roooog! E urgent! Descompuneti in factori: d) (x+2)^4-(x+1)^4

Răspuns :

WildHorse
[(x+2)²]² - [(x+1)²]²=[(x+2)²-(x+1)² ] [(x+2)²+(x+1)²]=

[(x²+4x+4)-(x²+2x+2)] [(x²+4x+4)+(x²+2x+2)] =
(x²+4x+4-x²-2x-2)(x²+4x+4+x²+2x+2)=
(2x+2)(2x²+6x+6)=
2(x+1) * 2(x²+4x+4) =4(x+1)(x+2)²

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