Factorize algebraic equation and describe the steps taken.

Hallo,

I am stuck at this problem and I dont know what steps are taken to get the answer. I will provide you with the answer and ofcourse the equation and with the steps. The only thing I want is to know which step taken to get to the answer.

What I want to know is what makes the -2 go into the square brackets after the GCF have been found and taken to the left of the equation.

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Mathe
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• Yes I understand it so far, at least for most of it. The real question I have is, what makes the -2 in the square bracket go into the a+3 in parenthesis. What phenomenon/rule takes place. Shouldn't minus two be multiplied with a and 3? That is my question. If you can elaborate the bounty will be yours.

• I have given the bounty but I had another question actually. Are there any other methods to have such a sequence of numbers not act like multiplication or is it only with a minus sign in front of it?

• Let me answer in the full text.

• Feel free to add a tip for the extra questions.