need help urgently

Question

For which values of a and b the expression x^10 + a x^b + 144 is a perfect square trinomial?

Answer 1

Let a = 2√144 = 24 and b = 10/2 = 5

Then x¹⁰ + ax^b + 144 = x¹⁰ + 24x⁵ + 144 = (x⁵ + 12)²