Question

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Factor y^(10n) – y^(5n) – 12

Answer 1

`(y^(5n) -4)(y^(5n) +3)`

Explanation:

u = y^5n

Therefore, u^2 = y^10n, because

(y^5n)^2 = y^10n

u^2 - u - 12 = 0

-4 and 3 multiply to equal -12 and add to equal -1

(u - 4)(u + 3)

replace u with y^5n

`(y^(5n) -4)(y^(5n) +3)`