7m-24mn+25mn-25mn=7m-24mn
Если ctg(a)=3/4, ctg(b)=4/3 ,то ctg(a)*ctg(b)=1 , но ctg(a)=cos(a)/sin(a), ctg(b)=cos(b)/sin(b), то cos(a)*cos(b)/(sin(a)*sin(b))=1, то cos(a)*cos(b)-sin(a)*sin(b)=0, то есть cos(a+b)=0
1) =5(x-3)-3(x-3)^2=(x-3)(5-3x+9)=(x-3)(14-3x)
2) =0,73(0,73+0,27)+0,27=0,73+0,27=1
3)12^5-18^4=2^5*6^5-3^4*6^4=6^4(32*6-81)=6^4(192-81)=6^4*111,
б) =6^4*111=6^3*666, (666:37)
4)2x^2-x=0, x(2x-1)=0, x=0, x=1/2
5(x-3)-(6-2x)^2=0, 5(x-3)-(2(3-x)^2=0, (x-3)(5-4(x-3))=0, (x-3)(8-4x)=0, x=3, x=2
Sin(3pi/2+5x)=1/2
(Sin(3pi/2+x)=-cosx)
-cos(5x)=1/2
cos(5x)=-1/2
5x=+-2pi/3+2piK
x=+-2pi/15+2/5*pi*K