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holsey
@holsey
July 2022
1
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ДАЮ 40 БАЛЛОВ!!1
СРОЧНО НАДО РЕШИТЬ!1
a) (x\1 - 5x\x + 2) : (x-3)\(x+2)
b) (6x+y)\3x - 5y^2\x2 * x\15y
c) (x+y)\(x-y) - (x-y)\(x+y) * xy\x^2 - y^2
: - деление, если что.
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sedinalana
Verified answer
A) (x\1 - 5x\x + 2) : (x-3)\(x+2)=(x²+2x-5x)/(x+2)*(x+2)/(x-3)=
=(x²-3x)/(x-3)=x(x-3)/(x-3)=x
b) (6x+y)\3x - 5y^2\x2 * x\15y=(6x+y)/3x-y/3x=(6x+y-y)/3x=6x/3x=2
c) (x+y)\(x-y) - (x-y)\(x+y) * xy\x^2 - y^2=(x+y)/(x-y)-xy/(x+y)²=
=(x³+x²y+xy²+y³-x²y+xy²)/[(x-y)(x+y)²]=(x³+2xy²+y³)/[(x-y)(x+y)²]
2 votes
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holsey
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Answers & Comments
Verified answer
A) (x\1 - 5x\x + 2) : (x-3)\(x+2)=(x²+2x-5x)/(x+2)*(x+2)/(x-3)==(x²-3x)/(x-3)=x(x-3)/(x-3)=x
b) (6x+y)\3x - 5y^2\x2 * x\15y=(6x+y)/3x-y/3x=(6x+y-y)/3x=6x/3x=2
c) (x+y)\(x-y) - (x-y)\(x+y) * xy\x^2 - y^2=(x+y)/(x-y)-xy/(x+y)²=
=(x³+x²y+xy²+y³-x²y+xy²)/[(x-y)(x+y)²]=(x³+2xy²+y³)/[(x-y)(x+y)²]