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lolkek2018lol
@lolkek2018lol
August 2022
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помогите срочно разложите на множители 1)х²+2ху+у²-1 2)a³+a²b-ab²-b³
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Sollo17
Verified answer
Х²+2ху+у²-1=(x²+2xy+y²)-1=(x+y)²-1=(x+y+1)(x+y-1)
a³+a²b-ab²-b³=(a³-b³) +(a²b-ab²)=
(a-b) (a²+ab+b²) +ab(a-b) =(a-b) (a²+ab+b²+ab) =
(a-b) (a²+2ab+b²)=(a-b)(a+b)²
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Answers & Comments
Verified answer
Х²+2ху+у²-1=(x²+2xy+y²)-1=(x+y)²-1=(x+y+1)(x+y-1)a³+a²b-ab²-b³=(a³-b³) +(a²b-ab²)=
(a-b) (a²+ab+b²) +ab(a-b) =(a-b) (a²+ab+b²+ab) =
(a-b) (a²+2ab+b²)=(a-b)(a+b)²