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andreevvv641
@andreevvv641
July 2022
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упростите выражение (((x^2+5)^2+4(x^2+5)+4)/(x^2-10x+21))*((2x^2-18)/(x^2+7)^2)
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nafanya2014
Verified answer
(x²+5)²+4(x²+5)+4=(x²+5)²+2·(x²+2)·2+2²=формула а²+2ab+b²=
(x²+5+2)²=(x²+7)²
x²-10x+21
D=100-4·21=100-84=16
x₁=(10-4)/2=3 или х₂=(10+4)/2=7
x²-10x+21=(х-3)(х-7)
2х²-18=2(х²-9)=2(х-3)(х+3)
О т в е т. 2(х+3)/(х-7)
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Answers & Comments
Verified answer
(x²+5)²+4(x²+5)+4=(x²+5)²+2·(x²+2)·2+2²=формула а²+2ab+b²=(x²+5+2)²=(x²+7)²
x²-10x+21
D=100-4·21=100-84=16
x₁=(10-4)/2=3 или х₂=(10+4)/2=7
x²-10x+21=(х-3)(х-7)
2х²-18=2(х²-9)=2(х-3)(х+3)
О т в е т. 2(х+3)/(х-7)