Question

If a, b are distinct positive real numbers, then which one of
the following is true?
(a) a⁴ + b⁴ > a³b + ab³ (b) a⁴ + b⁴ < a³b + ab³
(c) a³ + b³ < a²b + ab² (d) none of these

Answer 1

Answer:

b

Step-by-step explanation:

let a=1,b=2

a⁴=1⁴=1

b⁴=2⁴=16

a³b=1³×2=2

ab³=1×2³=8

a⁴+b⁴=1+16=17

a³b+ab³=2+8=10

a⁴+b⁴<a³b+ab³