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kati39456
@kati39456
August 2022
1
9
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разложите на множители
28x^2-7y^2
-11x^2+22x-11
x^3+8y
(y^2-1)-9
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Answers & Comments
litanalove
1) 7(4x² -y²) =7(2x -y)(2x +y)
2) -11(x² -2x +1) = -11(x -1)² = -11(x -1)(x -1)
3) x^3 -8y^3 =(x-2y)(x² +2xy +4y²)
4) (y²-1)² -9 =(y²-1 -3)(y²-1 +3) =(y² -4)(y² +2) =(y-2)(y+2)(y² +2)
5 votes
Thanks 5
kati39456
в третьем задании нет 8y^3 ! 8y
litanalove
в таком случае на множители его не разложишь
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Answers & Comments
2) -11(x² -2x +1) = -11(x -1)² = -11(x -1)(x -1)
3) x^3 -8y^3 =(x-2y)(x² +2xy +4y²)
4) (y²-1)² -9 =(y²-1 -3)(y²-1 +3) =(y² -4)(y² +2) =(y-2)(y+2)(y² +2)