1)a*(x+y)+5*(x+y)=(a+5)*(x+y)
2)6x*(a-2b)-(a-2b)=(6x-1)*(a-2b)
3)a*(2-y)-(y-2)=a*(2-y)+(2-y)=(a+1)*(2-y)
4)ax+ay+4x+4y=a*(x+y)+4*(x+y)=(a+4)*(x+y)
-3,2a³c³
-------------------------------------
1
[cos(π-b)-3sin(-3π/2+b)]/cos(b-3π)=[-cosb+sin(3π/2-b)]/cos(b-π)=
=[-cosb-cosb)/(-cosb)=-2cosb/(-cosb)=-2
3
24√2cos1035=24√2cos(720+315)=24√2cos315=24√2cos(360-45)=
=24√2cos45=24√2*1/√2=24
6
11sin49/sin311=11sin49/sin(360-49)=11sin49/(-sin49)=-11
2х^2 – 2х – 12 = (х + 2)^2
2(х^2 – х – 6) = (х + 2)^2
2(х^2 + 2х – 3х – 6) = (х + 2)^2
2(х • (х + 2) – 3(х + 2)) = (х + 2)^2
2(х – 3) • (х + 2) = (х + 2)^2
2(х – 3) • (х + 2) – (х + 2)^2 = 0
(х + 2) • (2(х – 3) – (х + 2)) = 0
(х + 2) • (2х – 6 – х – 2) = 0
(х + 2) • (х – 8) = 0
х + 2 = 0
х – 8 = 0
х = – 2
х = 8