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    supun's Avatar
    supun Posts: 1, Reputation: 1
    New Member
     
    #1

    Mar 30, 2011, 08:10 AM
    How to prove that ?
    sin^6(x) + cos^6(x) = sin^4(x) - sin^2(x) * cos^2(x) + cos^4(x)
    smoothy's Avatar
    smoothy Posts: 25,492, Reputation: 2853
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    #2

    Mar 30, 2011, 09:22 AM

    How do you think you should start?





    Read this first: Expectations for the Homework Help board

    --------------------------------------------------------------------------------

    Do not simply retype or paste a question from your book or study material

    We won't do your homework questions for you.
    You were given the assignment for you to learn.

    If you come up with your own answer and post it for us to critique that is within reason.

    If you have some SPECIFIC questions that you couldn't find or didn't understand, we may help with that.
    But this is your assignment, so show us you have at least attempted to complete it on your own.

    Thank you.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Mar 31, 2011, 07:47 AM

    Look at the factorization for the sum of two cubes.

    Factor:



    Let

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