Question

completely factor the expression, if possible.

\\y^6 + 8\\

Explanation:

Identify the structure of the expression

Using the Factoring Sum and Difference of Cubes knowledge point

$$ y^6 + 8 = (y^2)^3 + 2^3 $$

Apply the sum of cubes formula

Using the Factoring Sum and Difference of Cubes knowledge point

$$ A^3 + B^3 = (A + B)(A^2 - AB + B^2) $$

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Answer:

Completely factor the expression, if possible.

\(y^6 + 8 =\) <blank>\((y^2 + 2)(y^4 - 2y^2 + 4)\)</blank>