How do you expand brackets?

The easiest method to expand brackets would be to remember FOIL!
F - First
O - Outside
I - Inside
L - Last

Okay, so lets say you want to expand (3x+1)(2x+3), we'll fist multiply the first term of each bracket, 3x*2x, which gives us 6x2. Next the outside term of each, 3x*3, which makes 9x. Then the inside terms which are 1*2x, making just 2x. Finally the last terms, 3*1 which is just 3.
Adding these four together we get:
We can simplify the two x terms to leave us with a final answer of:

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