Ответ:
1. а) =5/(7amn-7bmn)
б) = 1-n/2m
2. а) = 2x+2y+x^2-xy/2x-2y
б)=4-3x^2/b^2*x^4
3. а)= 2/4p
б)=3/4=0.75
Объяснение:
1. а) 25m^2n*(a-b)/ 35m^3 n^2(a-b)^2
сокращаем m, n и (a-b) ; сокращаем дробь на 5, 25/35 и получаем
25m^2n*(a-b)/ 35m^3 n^2(a-b)^2= (5)/(7mn*(a-b))=5/(7amn-7bmn)
Б) 4m-4nm/8m^2= 4m*(1-n)/8m^2=m*(1-n)/2m^2= 1-n/2m
2.А) x+y/x-y +x^2-xy/ 2x-2y= x+y/x-y +x(x-y)/ 2(x-y)= x+y/x-y +x/ 2=2(x+y)+x(x-y)/2(x-y)= 2x+2y+x^2-xy/2x-2y
Б) 4/(x^2*b^2) - 3b/x^2b^3= 4/(x^2*b^2) - 3/x^2*b^2= 4-3x^2/b^2*x^4
3.A) 4p/p-3* 2p-6/16p^2=4p/p-3* 2(p-3)/16p^2= p/p-3 *2(p-3)/4p^2=1/p-3 *2(p-3)/4p= 2/4p
б) m^2-n^2/(m+n)^2: 4m-4n/ 3m+3n= (m-n)(m+n)/m+n)^2 *3m+3n/4m-4n=
(m-n)/m+n * 3(m+n)/4(m-n)=1/m+n * 3(m+n)/4= 1*3/4=3/4=0.75