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Recover122
@Recover122
August 2021
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Упростите:
№685, №686
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litanalove
685. 1) 1я скобка
(m+m+1)/(m+1)=(2m+1)/(m+1)
2я скобка
(1-m²-3m²) /(1-m²)= (1-4m²) / (1-m)(1+m)=(1-2m)(1+2m) / (1-m)(1+m)
при делении дробь переворачиваем и будет умножение
(2m+1) *(1-m)(1+m) /
(m+1) *(1-2m)(1+2m) =
(1-m) /(1-2m)
2) (2x+1)(2x+1)-(2x-1)(2x-1) / (2x-1)(2x+1) =(4x²+4x+1 -4x² +4x-1) /(4x² -1)=8x/(4x²-1)
8x *5(2x-1) /(2x-1)(2x+1)*4x = 2*5 /(2x+1)=10/(2x+1)
686. 1) числитель
y -1/y =(y² -1)/y=(y-1)(y+1)/y
знаменатель
1/y +1=(1+y²)/y
(y-1)(y+1)/y) : (1+y²)/y =
(y-1)(y+1)*y /y*(1+y²) =
=(y²-1)/(1+y²)
2) (x+y)/xy : 1/xy =(x+y)/xy * xy/1 =(x+y)*xy /xy =x +y
1 votes
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Answers & Comments
(m+m+1)/(m+1)=(2m+1)/(m+1)
2я скобка
(1-m²-3m²) /(1-m²)= (1-4m²) / (1-m)(1+m)=(1-2m)(1+2m) / (1-m)(1+m)
при делении дробь переворачиваем и будет умножение
(2m+1) *(1-m)(1+m) /
(m+1) *(1-2m)(1+2m) =
(1-m) /(1-2m)
2) (2x+1)(2x+1)-(2x-1)(2x-1) / (2x-1)(2x+1) =(4x²+4x+1 -4x² +4x-1) /(4x² -1)=8x/(4x²-1)
8x *5(2x-1) /(2x-1)(2x+1)*4x = 2*5 /(2x+1)=10/(2x+1)
686. 1) числитель
y -1/y =(y² -1)/y=(y-1)(y+1)/y
знаменатель
1/y +1=(1+y²)/y
(y-1)(y+1)/y) : (1+y²)/y =
(y-1)(y+1)*y /y*(1+y²) =
=(y²-1)/(1+y²)
2) (x+y)/xy : 1/xy =(x+y)/xy * xy/1 =(x+y)*xy /xy =x +y