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10 December, 09:27

If the expression f^2+g^4-2f+1 is rewritten in the form a^2 + (g^2) ^2, what must be the value of a?

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  1. 10 December, 09:30
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    Answer: √ (f^2 - 2f + 1) = a

    Step-by-step explanation:

    We have that:

    f^2+g^4-2f+1 = a^2 + (g^2) ^2

    And we want to find the value of a, so we should isolate it.

    f^2 + g^4 - 2f + 1 = a^2 + g^ (2*2) = a^2 + g^4

    where i used that (x^y) ^z = x^ (y*z)

    We can remove the term g^4 in both sides of the equation and get:

    f^2 - 2f + 1 = a^2

    now we can apply the square rooth to both sides and get

    √ (f^2 - 2f + 1) = a

    So we just found the value of a.
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