Question

(a^2-b^2)^2+(a^2+2b^2)^2

(a2-2)2+(a2+2b2)2

Answer 1

(a^2-b^2)^2+(a^2+2b^2)^2
=a^4+2a^2b^2+b^4+a^4+4a^2b^2+4b^4
=2a^4+6a^2b^2+5b^4

Answer 2

a+b+c=2 (1)
9a+3b+c=2 (2)
25a+5b+c=7 (3)
(2)-(1)
8a+2b=0 (4)
4a+b=0 (5)
(3)-(2)
16a+2b=5 (6)
(6)-(4)
8a=5
a=5/8
b=-4a=-5/2
c=2-a-b=31/8