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alenaASD
@alenaASD
October 2021
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Помогите разложить многочлен на множители. a^2-2ab+5a-10b, a^5+3a^3-8a^2-24
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АннаАрт
A^2-2ab+5a-10b=a^2+5a-2ab-10b=a(a+5)-2b(a+5)=(a+5)(a-2b)
a^5+3a^3-8a^2-24=a^3(a^2+3)-8(a^2+3)=(a^2+3)(a^3-8)=(a^2+3)(a-2)(a^2+2a+4)
--------------------------------------
x^3-y^3=(x-y)(x^2+xy+y^2)
a^3-8=a^3-2^3=(a-2)(a^2+2a+4)
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Answers & Comments
a^5+3a^3-8a^2-24=a^3(a^2+3)-8(a^2+3)=(a^2+3)(a^3-8)=(a^2+3)(a-2)(a^2+2a+4)
--------------------------------------
x^3-y^3=(x-y)(x^2+xy+y^2)
a^3-8=a^3-2^3=(a-2)(a^2+2a+4)