College

Factor the expression using the given factor. Assume all variables represent positive real numbers.

Expression: [tex]x^7 - 2x^4 x^7[/tex]

A. [tex]x^7(1 + 2x^5)[/tex]
B. [tex]x^7(1 - 2x^3)[/tex]
C. [tex]x^7(x - 2x^3)[/tex]
D. [tex]x^7(x - 2x^2)[/tex]

Answer :

Final answer:

To factor the expression x7-2x4x7, factor out the greatest common factor of the terms, which is x7. The correct answer is x7(1+2x5).


Explanation:

To factor the expression x7-2x4x7, we can factor out the greatest common factor of the terms. In this case, x7 is the greatest common factor. Dividing each term by x7, we get:



x7-2x4x7 = x7(1-2x4)



So the correct answer is OA. x7(1+2x5).


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