Question

11,a;b;c
2 a;b;c
3 a;b;c
4 a;b;c
Va rooog <33

Answer 1

11)
a) a²+2a+3= a²+2a+1+2=(a+1)²+2
b)a²+6a+10= a²+6a+9+1=(a+3)²+1
c)a²-4a+5= a²-4a+4+1=(a-2)²+1

2)
a)(1+√2)³=1+3√2+6+2√2=7+5√3
b)(√2-√3)³=2√2-6√3+9√2-9=7√2-6√3-9
c)(2x/3 +1)³ =8x³/27+3*4x²/9+3*2x/3+1=8x³/27+4x²/3+2x+1=

3) 
a)(2-√3)(4+2√3+3)=(2-√3)(7+2√3)=14-7√3+4√3-6=8-3√3
b)(3+√2)(9-3√2+2)=(3+√2)(11-3√2)=33+11√2-9√2-6=27+2√2
c)(x-2)(x²+2x+4)=(x-2)(x+2)²=(x-2)(x+2)(x+2)=(x²-4)(x+2)=x³+2x²-4x-8

4)
a)(x-1)³=x³-3x²+3x-1
b)(x+2)³=x³+6x²+12x+8
c)(x³y³-6x²y² +12xy -8 = (xy-2)³