Factor a^4+13a^2+40

Math
a4+13a2+40
Rewrite a4 as (a2)2.
(a2)2+13a2+40
Let u=a2. Substitute u for all occurrences of a2.
u2+13u+40
Factor u2+13u+40 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 40 and whose sum is 13.
5,8
Write the factored form using these integers.
(u+5)(u+8)
(u+5)(u+8)
Replace all occurrences of u with a2.
(a2+5)(a2+8)
Factor a^4+13a^2+40

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