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padilas [110]
3 years ago
9

Factor completely 625x8 − 1.

Mathematics
2 answers:
mariarad [96]3 years ago
7 0

Answer:

(5x^2 - 1)*(5x^2 + 1)*(25x^4 + 1)

Step-by-step explanation:

Using a^2 - b^ 2 = (a-b)(a+b), factor the question into:

(25x^4 - 1)*(25x^4 + 1),

now further factor (25x^4 -1 ) using the same formula i.e [ a^2 - b^ 2 = (a-b)(a+b) ]

so we get our answer, that is:

(5x^2 - 1)*(5x^2 + 1)*(25x^4 + 1)

Sphinxa [80]3 years ago
4 0

Answer:

(5x^2 - 1)*(5x^2 + 1)*(25x^4 + 1)

Step-by-step explanation:

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