Question

a2+b2=9 a+b=1 a4+b4=?​

Answer 1

Step-by-step explanation:

given, a+b=1

(a+b)²=1²

a²+b²+2ab=1

9+2ab=1

2ab=8

ab=4

a²b²=16

given,

a²+b²=9

(a²+b²)²=9²

a⁴+b⁴+2a²b²=81

a⁴+b⁴+2.16=81

a⁴+b⁴=81-32

a⁴+b⁴=49