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BhadHelper
@BhadHelper
November 2021
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Разложить на множители:
а) 35х2-35у2 б)8а3+8 в) 5х2-10ху +5у2 г) х3-ху2-5у2 +5х2
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Молодец000
А) 35x^2-35y^2=35(x^2-y^2)=35(x-y)(x+y)
б) 8а^3+8=(2а+2)(4а^2-4а+4)
в) 5x^2-10xy+5y^2=5x^2-5xy-5xy+5y^2=(5x^2-5xy)+(5y^2-5xy)=5x(x-y)-5y(x-y)=(x-y)(5x-5y)=5(x-y)(x-y)=5(x-y)^2
г) x^3-xy^2-5y^2+5x^2=(5x^2+x^3)-(xy^2+5y^2)=5x^2(1+x)-5y^2(1+x)=(1+x)(5x^2-5y^2)
^2 или ^3 это степени
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Answers & Comments
б) 8а^3+8=(2а+2)(4а^2-4а+4)
в) 5x^2-10xy+5y^2=5x^2-5xy-5xy+5y^2=(5x^2-5xy)+(5y^2-5xy)=5x(x-y)-5y(x-y)=(x-y)(5x-5y)=5(x-y)(x-y)=5(x-y)^2
г) x^3-xy^2-5y^2+5x^2=(5x^2+x^3)-(xy^2+5y^2)=5x^2(1+x)-5y^2(1+x)=(1+x)(5x^2-5y^2)
^2 или ^3 это степени