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Ksju [112]
3 years ago
5

What is the factorization of 216x12 – 64?

Mathematics
1 answer:
GalinKa [24]3 years ago
4 0

9514 1404 393

Answer:

  (c)  (6x^4 – 4)(36x^8 + 24x^4 + 16)

Step-by-step explanation:

The correct factoring can be found by looking at the first exponent in the second set of parentheses.

The factorization of ...

  (a^3 -b^3)

is ...

  (a -b)(a^2 +ab +b^2)

__

Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...

  a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice

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