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Владимир436
@Владимир436
July 2022
2
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задали примеры помогите решить.100 баллов
1) (4x^2-y)*7y:(49x^2-y^2)
2)(7x-y)*7:(49x^2-y^2)
3)(4x^2-25y^2)*(1:(2x+5y)+1:(2x-5y))
4)(2x^2+xy-6y^2):(3y-2x)
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NNNLLL54
Verified answer
3 votes
Thanks 1
Kixcertborn2
Verified answer
==========================================================
(7x-y)*7y:(49x^2-y^2) = (7x-y)*7y/49x^2-y^2 = (7x-y)*7y/(7x-y)*(7x+y) =
7y/7x+y
==========================================================
4x:(7y+2x)-(2x-7y):(2x+7y)= 4x/2x+7y - 2x-7y/2x+7y = 4x-(2x-7y)/2x+7y = 4x-2x+7y/2x+7y = 2x+7y/2x+7y = 1
==========================================================
(4x^2-25y^2)*(1:(2x+5y)+1:(2x-5y)) = (2x-5y) * (2x+5y) * (1/2x+5y + 1/ 2x-5y) = (2x-5y) * (2x+5y) * 2x-5y+2x+5y/ (2x+5y)*(2x-5y)=
4x
==========================================================
(2x^2+xy-6y^2)/(3y-2x)=2x^2-3xy+4xy-6y^2/3y-2x = -x(3y-2x)-2y(2x-3y-2x)/3y-2x = (3y-2x)(-x-2y)/3y-2x = -x-2y
==========================================================
2 votes
Thanks 1
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Verified answer
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==========================================================(7x-y)*7y:(49x^2-y^2) = (7x-y)*7y/49x^2-y^2 = (7x-y)*7y/(7x-y)*(7x+y) = 7y/7x+y
==========================================================
4x:(7y+2x)-(2x-7y):(2x+7y)= 4x/2x+7y - 2x-7y/2x+7y = 4x-(2x-7y)/2x+7y = 4x-2x+7y/2x+7y = 2x+7y/2x+7y = 1
==========================================================
(4x^2-25y^2)*(1:(2x+5y)+1:(2x-5y)) = (2x-5y) * (2x+5y) * (1/2x+5y + 1/ 2x-5y) = (2x-5y) * (2x+5y) * 2x-5y+2x+5y/ (2x+5y)*(2x-5y)= 4x
==========================================================
(2x^2+xy-6y^2)/(3y-2x)=2x^2-3xy+4xy-6y^2/3y-2x = -x(3y-2x)-2y(2x-3y-2x)/3y-2x = (3y-2x)(-x-2y)/3y-2x = -x-2y
==========================================================