A
1)(a+1)/(a+1)(a-1)-1/2(2a-1)=(2a+2-a-1)/2(4a²-1)=1/2(4a²-1)
2)1/2(4a²-1)*(4a²-1)²/8=(4a²-1)/16
b
1)(a+1)/2(a-1)+6/2(a-1)(a+1)-(a+3)/2(a+1)=(a²-1+6-a²+a-3a+3)/2(a²-1)=
=(8-2a)/2(a²-1)=2(4-a)/2(a²-1)=(4-a)/(a²-1)
2)(4-a)/(a²-1)*4(a²-1)/3=4(4-a)/3
(2a+b+c)²-(a-2b+c)²-3a²-3b²+8ab+2ac+6bc=
=((2a+b+c)+(a-2b+c))(2a+b+c)-(a-2b+c))-3a²-3b²+8ab+2ac+6bc=
=(2a+b+c+a-2b+c)(2a+b+c-a+2b-c)-3a²-3b²+8ab+2ac+6bc=
=(3a-b+2c)(a+3b)-3a²-3b²+8ab+2ac+6bc=
=3a²+9ab-ab-3b²+2ac+6bc-3a²-3b²+8ab+2ac+6bc=
=16ab-6b²+4ac+12bc
А)18с^2 - 2(9с^2-6с+1)= 18с^2- 18с^2+12с-2= 12с-2
Б)2а^2-6а+3а-9-8а+12а^2= 14а^2-11а-9