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    Factoring, 4-terms, NOT factored by grouping

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    4-terms - NOT factored by grouping.
    Factor out greatest common factor. 2-terms together. Get down to 3 terms first.

    4t(xt+yt)+4t(x+y)-24x-24y

    © BrainMass Inc. brainmass.com November 29, 2021, 11:55 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/factoring-terms-not-factored-grouping-10132

    Solution Preview

    Ok, first of all, just consider the first term:

    4t(xt+yt)
    Is there any GCF to factor out here? Yes, we have t. Therefore:

    4t(xt+yt)=4t^2(x+y)
    Ok, let's go back to the problem:
    4t^2(x+y)+4t(x+y)-24x-24y

    consider the last second two terms:
    GCF(-24x-24y)=-24 so -24x-24y=-24(x+y) then ...

    Solution Summary

    A polynomial is factored. The expert factors the greatest common factors.

    $2.49

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