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Math Help - Factoring Polynomials and factoring techniques

  1. #1
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    Factoring Polynomials and factoring techniques

    Hello I have come across 4 questions that I simply can't solve with ease, I don't know if there is a universal factoring technique that I am unfamiliar with, but the process of solving the question seems very long and I would like to seek assistance in order to determine whether or not what I am doing is right or wrong. Thank You for your assistance and cooperation.
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  2. #2
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    start by factoring out the common factor ...

    3(5-2x)\textcolor{red}{(7x-8)^2} - 2\textcolor{red}{(7x-8)^3}

    \textcolor{red}{(7x-8)^2}[3(5-2x) - 2(7x-8)]

    distribute and combine like terms in the [brackets] ...

    \textcolor{red}{(7x-8)^2}[15-6x-14x+16]

    (7x-8)^2(31 - 20x)


    follow the same procedure with the other expressions
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  3. #3
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    Thank you very much, that was much simpler than I expected. I was unfolding the whole thing which made it take very long.
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