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No, it cannot. See the result below.

 

Simplify the following:
x^4+5 x^2+4

x^4+5 x^2+4 = (x^2)^2+5 x^2+4:
(x^2)^2+5 x^2+4

The factors of 4 that sum to 5 are 4 and 1. So, (x^2)^2+5 x^2+4 = (x^2+4) (x^2+1):
Answer: |  (x^2+4) (x^2+1)
 

Thanks guest

 

can (x^4) + (5x^2) +4 be simplified to (x^2) + (5x) + 2

 

Here is another way of showing you.

 

Let x=3

 

LHS= 81+45+4 = 130

 

RHS = 9 + 15 +2 = 36

 

They are not equal :(