2( a^2 + 2ac + c^2) - 4ac = 2a^2 + 4ac + 2c^2 - 4ac = 2a^2 + 2c^2 =
= 2( a^2 + c^2)
Sina + sinb + sina - sinb = 2sina
3
1)(a+5)/(a-5) -10a²/(a-5)(a+5)-(a-5)/(a+5)=(a²+10a+25-10a²-a²+10a-25)/(a-5)(a+5)=
=(-10a²+20a)/(a-5)(a+5)=-10a(a-2)/(a-5)(a+5)
2)(a+5)/(2a-5)8-10a(a-2)/(a-5)(a+5)=-10a(a-2)/(2a-5)(a-5)=(20a-10a²)/(2a²-15a+25)
4
x²+(1/x)²=14
(x+ 1/x)²=x²+(1/x)²+2=14+2=16
x+ 1/x=4
<span>2 (х + 1) = 3 (х + 1)
2х + 2 = 3х + 3
х = - 1</span>