Question

The expression $x^4$ + 8$x^2$ + 16 can be factorized as

• A. (x² + x + 16)²
• B. (x² + x + 1)²
• C. (x² + 4)²
• D. (x² + x – 4) (x² – x + 4)

Answer 1

The correct option is C

(x² + 4)²

Step 1:- The expression $x^4$ + 8$x^2$ + 16, Substitute $x^2$ as a,

Step 2:- $a^2$ + 8a + 16 = $(a+4{)}^2$

Step 3:- Putting the value of a as $x^2$

$(x^2+4{)}^2$