(tg2x+tg3x)/(1-tg2x*tg3x)=1
tg(2x+3x)=1
tg5x=1
5x=π/4+πk
x=π/20+πk/5;k€X
1) 3(x+2y)/ 10(x+2y)=3/10
2) b^3/ab^2-b^4=b^3/b^2(a-b^2)=b/(a-b^2)
3)m^2n-m^3/ mn^3-m^22n^2=m^2(n-m)/ mn^2(n-m)=m/n^2
4) 3a+6b/a^2-4b^2=3(a+2b)/(a+2b)(a-2b)=3/(a-2b)
5) 3a-6b/4b^2-a^2=-3(2b-a)/(2b-a)(2b+a)=-3/(2b+a)
6) (a-2b)^2/4b^2-a^2= -(2b-a)^2/(2b-a)(2b+a)=(a-2b)/(2b+a)
У*(9-у)=0
у=0 или 9-у=0
-у=-9
у=9
(m-2)/(m^2-m-2) - m/(m^2+2m+1)=((m-2)(m+2)^2 - m(m^2-m-2)) / (m^2-m-2)(m+2)^2 = ((m^2-4)(m+2) - m^3+m^2+2m) / (m^2-m-2)(m+2)^2 =
(m^3+2m^2-4m-8 - m^3+m^2+2m) / (m^2-m-2)(m+2)^2 = (3m^2-2m-8) / (m^2-m-2)(m+2)^2 = (m-2)(m+4/3) / (m+1)(m-2)(m+2)^2 =(m+4/3) / (m+1)(m+2)^2
3(4x+2)-1=4x-11
12x+6-1=4x-11
12x+5=4x-11
12x-4x=-11-5
8x=-16
x=-2