Factor y^6-4y^3-12

Math
y6-4y3-12
Rewrite y6 as (y3)2.
(y3)2-4y3-12
Let u=y3. Substitute u for all occurrences of y3.
u2-4u-12
Factor u2-4u-12 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 -12 and whose sum is -4.
-6,2
Write the factored form using these integers.
(u-6)(u+2)
(u-6)(u+2)
Replace all occurrences of u with y3.
(y3-6)(y3+2)
Factor y^6-4y^3-12

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