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ksusha18101
@ksusha18101
July 2022
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пожалуйста помогите!
Упростите выражения_(6х-x²)²-x²(x-1)(x+1)+6x(3+2x²)
разложите на множители.
(y+2)²-4y²
x³-8y³
1
16-81x4
2x+x²+2y-y²
пожалуйста тут где разложите на множители 3 пример дробью одна восемьдесят первая
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Answers & Comments
hlopushinairina
(6x-x²)²-x²(x-1)(x+1)+6x(3+2x²)=
=36x²-12x³+x⁴-x²(x²-1)+18x+12x³=36x²-12x³+x⁴-x⁴+x²+18x+12x³=
=37x²+18x=x(37x+18);
(y+2)²-4y²=(y+2+2y)(y+2-2y)=(3y+2)(-y+2);
x³-8y³=(x-2y)(x²+2xy+4y²);
16-1/81·x⁴=(4+1/9·x²)(4-1/9·x²);
2x+x²+2y-y²=2(x+y)+(x²-y²)=2(x+y)+(x+y)(x-y)=(x+y)(2+x-y)
7 votes
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Answers & Comments
=36x²-12x³+x⁴-x²(x²-1)+18x+12x³=36x²-12x³+x⁴-x⁴+x²+18x+12x³=
=37x²+18x=x(37x+18);
(y+2)²-4y²=(y+2+2y)(y+2-2y)=(3y+2)(-y+2);
x³-8y³=(x-2y)(x²+2xy+4y²);
16-1/81·x⁴=(4+1/9·x²)(4-1/9·x²);
2x+x²+2y-y²=2(x+y)+(x²-y²)=2(x+y)+(x+y)(x-y)=(x+y)(2+x-y)