Factor z^4+10z^2+16

Math
z4+10z2+16
Rewrite z4 as (z2)2.
(z2)2+10z2+16
Let u=z2. Substitute u for all occurrences of z2.
u2+10u+16
Factor u2+10u+16 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 16 and whose sum is 10.
2,8
Write the factored form using these integers.
(u+2)(u+8)
(u+2)(u+8)
Replace all occurrences of u with z2.
(z2+2)(z2+8)
Factor z^4+10z^2+16

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