Question

Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms

Answer 1

Answer:

Step-by-step explanation:

Explanation:

Use the extended form of the perfect square trinomial identity:

a4 + 2a2b2 + b4 = (a2 + b2)2.

a2 = x2 and b2 = 32

x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2

= (x2)2 + 2(32)x2 + (32)2

= (x2 + 32)2

= (x2 + 9)2