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milashcalennova
@milashcalennova
July 2022
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Пожалуйста!!! Разложите на множители выражения:
9х² - 16у²
х³ - 8у³
8х³ - 125у³
х² - b² - ax - ab
a²x² - y⁴
c² - 4c + 4 - 9x²
4c² + 20c + 25 - 9a²
3x² + 2x - xy - 2y² + y³ - 3xy²
a²x + a + ax² + x + 2ax + 2
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Answers & Comments
irkarom
Verified answer
9х² - 16у²=(3x-4y)(3x+4y)
х³ - 8у³=(x-2y)(x^2+2xy+4y^2)
8х³ - 125у³=(2x-5y)(4x^2+10xy+25y^2)
х² - b² - ax - ab=(x-b)(x+b)-a(x+b)=(x+b)(x-b-a)
a²x² - y⁴=(ax-y^2)(ax+y^2)
c² - 4c + 4 - 9x²=(c-2)^2-9x^2=(c-2-3x)(c-2+3x)
4c² + 20c + 25 - 9a²=(2c+5)^2-9a^2=(2c+5-3a)(2c+5+3a)
3x² + 2x - xy - 2y² + y³ - 3xy²=x(3x+2-y)-y^2(2-y+3x)=(3x+2-y)(x-y^2)
a²x + a + ax² + x + 2ax + 2=a(ax+1)+x(ax+1)+2(ax+1)=(ax+1)(a+x+2)
2 votes
Thanks 3
irkarom
^ - это степень
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Answers & Comments
Verified answer
9х² - 16у²=(3x-4y)(3x+4y)х³ - 8у³=(x-2y)(x^2+2xy+4y^2)
8х³ - 125у³=(2x-5y)(4x^2+10xy+25y^2)
х² - b² - ax - ab=(x-b)(x+b)-a(x+b)=(x+b)(x-b-a)
a²x² - y⁴=(ax-y^2)(ax+y^2)
c² - 4c + 4 - 9x²=(c-2)^2-9x^2=(c-2-3x)(c-2+3x)
4c² + 20c + 25 - 9a²=(2c+5)^2-9a^2=(2c+5-3a)(2c+5+3a)
3x² + 2x - xy - 2y² + y³ - 3xy²=x(3x+2-y)-y^2(2-y+3x)=(3x+2-y)(x-y^2)
a²x + a + ax² + x + 2ax + 2=a(ax+1)+x(ax+1)+2(ax+1)=(ax+1)(a+x+2)