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Pre calculus help!!! is it identity or conditional ?

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how do i know

how do i work this out

x^2-8x+5=(x-4)^2-11

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  1. Expand the right hand side, and see whether it matches exactly the left hand side. If it does, you have an identity.

    (x - 4)^2 - 11

    = x^2 - 8x + 16 - 11

    = x^2 - 8x + 5.

    That matches the left hand side, and so it is an identity.

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