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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

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Solution Summary

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

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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 ...

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