1. ( √3-5)^2 + (3+ √3) ^2= 4 (10- √3)
3-2×5× √3+ 25+9+2×3× √3+ 3= 40-4 √3
3-10√3+25+9+6√3+3= 40-4√3
40-4√3=40-4√3 (A)
2. A=(x-1)(x+1)(x^2+1) + (x^2+ 3)^2
A= (x^2-1)(x^2+1) + (x^2+3)^2
A= (x^4-1) + x^4+ 9+ 6x^2
A= 2x^4+6x^2+ 8
A= 2( x^4 +3x^2 +4)
A= 2( x^2(x^2 +3) +4)