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OookayyY
@OookayyY
August 2022
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Ребят, помогите решить.
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sedinalana
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Б
1)x/y(y+x)+(x-y)/x(x-y)=(x³-x²y+xy²+x²y-y³-xy²)/xy(x²-y²)=(x³-y³)/xy(x²-y²)=
=(x-y)(x²+xy+y²)/xy(x-y)(x+y)=(x²+xy+y²)/xy(x+y)
2)y²/x(x-y)(x+y) +1/(x-y)=(y²+x²+xy)/x(x²-y²)
3)(x²+xy+y²)/xy(x+y) *x(x-y)(x+y)/(x²+xy+y²)=(x-y)/y
3
1)4/b(b+1)+2/(b-1)(b+1)-1/b(b-1)=(4b-4+2b-b-1)/b(b-1)(b+1)=
=(5b-5)/b(b-1)(b+1)=5(b-1)/b(b-1)(b+1)=5/b(b+1)
2)(1+b)²*5/b(b+1)=5(b+1)/b
b=5/6
5*(1+5/6);(5/6)=5*11/6*6/5=11
4
a-3/a=4
a²+9/a²=(a-3/a)²+6=4²+6=16+6=22
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Answers & Comments
Verified answer
Б1)x/y(y+x)+(x-y)/x(x-y)=(x³-x²y+xy²+x²y-y³-xy²)/xy(x²-y²)=(x³-y³)/xy(x²-y²)=
=(x-y)(x²+xy+y²)/xy(x-y)(x+y)=(x²+xy+y²)/xy(x+y)
2)y²/x(x-y)(x+y) +1/(x-y)=(y²+x²+xy)/x(x²-y²)
3)(x²+xy+y²)/xy(x+y) *x(x-y)(x+y)/(x²+xy+y²)=(x-y)/y
3
1)4/b(b+1)+2/(b-1)(b+1)-1/b(b-1)=(4b-4+2b-b-1)/b(b-1)(b+1)=
=(5b-5)/b(b-1)(b+1)=5(b-1)/b(b-1)(b+1)=5/b(b+1)
2)(1+b)²*5/b(b+1)=5(b+1)/b
b=5/6
5*(1+5/6);(5/6)=5*11/6*6/5=11
4
a-3/a=4
a²+9/a²=(a-3/a)²+6=4²+6=16+6=22