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Algebra

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How does 3x(4x+5)-5(4x+5) factor out to be (4x+5)(3x-5) ? This may be wrong, because I wrote this answer in my notes, but could some one please explain this to me? Also, do you have any tips on factoring? I understand the concept when I see an example(Usually), but I have a very hard time actually doing it.

  • Algebra -

    You have two different terms (3x and -5) that both multiply (4x + 5) . You can add these two terms together into (3x - 5)

    You are using the "distributive" rule that
    (x + y)z = xz + yz
    but in this case you are using it "backwards".

    x, y and z can be constants or algebraic terms

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