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rebter
@rebter
July 2022
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Помогите решить!
3x+xy^2-x^2y-3y
a^2b-2b+ab^2-2a
2x+y+y^2-4x^2
a-3b+9b^2-a^2
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nafanya2014
Verified answer
3x+xy²-x²y-3y=(3x-3y)+(xy²-x²y)=3(x-y)+xy(y-x)=(x-y)(3-xy)
a²b-2b+ab²-2a=(a²b+ab²)-(2a+2b)=ab(a+b)-2(a+b)=(a+b)(ab-2)
2x+y+y²-4x²=(2x+y)+(y²-4x²)=(2x+y)+(y-2x)(y+2x)=(y+2x)(1+y-2x)
a-3b+9b²-a²=(a-3b)+(3b-a)(3b+a)=(a-3b)-(a-3b)(a+3b)=(a-3b)(1-a-3b)
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Answers & Comments
Verified answer
3x+xy²-x²y-3y=(3x-3y)+(xy²-x²y)=3(x-y)+xy(y-x)=(x-y)(3-xy)a²b-2b+ab²-2a=(a²b+ab²)-(2a+2b)=ab(a+b)-2(a+b)=(a+b)(ab-2)
2x+y+y²-4x²=(2x+y)+(y²-4x²)=(2x+y)+(y-2x)(y+2x)=(y+2x)(1+y-2x)
a-3b+9b²-a²=(a-3b)+(3b-a)(3b+a)=(a-3b)-(a-3b)(a+3b)=(a-3b)(1-a-3b)