Question

Si : a2+b2=2 , ab=4. Hallar (a+b)2+(a4+b4).

Answer 1

a2+b2=2 , ab=4

(a+b)2+(a4+b4)

a2+2ab+b2+(a4+b4)

(a2+b2)+2ab+a2.b2(a2+b2)

2+2.4+a.a.b.b(2)

2+8+(a.b)(a.b).2

10+4.4.2

10+32

42