Question

Factorize : x^4 + 8x^2 + 16

Answer 1

Answer:

Make a variable, in this case I will use  

u . Let  u = x^2

You have  

x^ 4 −8 x ^2+16 .

This is equivalent to  

( x 2) 2 − 8 x 2 + 16 .

You can now plug in  

u

wherever  

x 2  is.

You get  

u 2 − 8 u + 16

.

Now, you can factor this like a normal polynomial.

( u − 4 ) ( u − 4 ) or  ( u − 4^ ) 2 .

The factored form will be  

( x ^2 − 4 ) ^2

.

hope it helps, if so plzzzzz mark brainliest tyvm!!!!!!

Answer 2

Step-by-step explanation:

x^4 + 8x^2 + 16

x^4 + 4x^2 + 4x^2 + 16

x² (x²+4) + 4 (x²+4)

= (x²+4) (x²+4)

= (x²+4)²