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What you need:

• Pencil and paper
• Basic knowledge of "algebra"

Dissolve simple brackets - that's how it's done

• Most "parentheses" have a form that is fairly easy to resolve. There is a simple term in front of the brackets (usually number and / or letter as a representative for Counting) and the bracket itself contains a sum (or difference of terms).
• Brackets of this type are for example 3 _* (a - b) = 3 (a - b) (mathematicians save the "multiplication mark" in these cases) or -2x (x² + y - z).
• Breaking these brackets is easy. You multiply the term in front of the bracket with each term in the bracket. Pay attention to the signs.
• For example, you solve 3 (a - b) = 3a - 3b and -2x (x² + y - z) = -2x³ (sign!) - 2xy + 2xz (- times - = +). It is beneficial to write down the letters after the ABC when lined up (i.e. xz and not zx).

Two brackets are meant to be multiplied - here's how to proceed

• These are mathematical expressions of the form () _* (), where the brackets themselves can contain sums or differences of terms. Here, too, the multiplication mark between the two brackets is omitted, but what is meant is always the multiplication of the two brackets.


Correctly transforming terms in math - this is how it works

You will often encounter term conversions in school mathematics. But they lose their ...

• Examples are (x +1) (x-2) or (3 + b) (a + b - 2c).
• You can resolve such double brackets by multiplying each addition in the first bracket by each addition in the second bracket. In the first example there are 4 multiplications (2 times 2), but in the second case 6 multiplications (2 x 3). In most cases, you can then summarize the terms.
• How to solve (x +1) (x-2) = x² (for x _* x) - 2x + 1x - 2 = x² -1x - 2. Be careful not to mix up the order of the multiplications. A finger of the left hand, which points to the summand that is currently being processed, can be of help here.

If you want to resolve more than two brackets, then proceed in sequence: First, multiply the first two brackets according to the above rules and put the result in a (new) Bracket. This bracket is then multiplied by the next bracket. Always remember to summarize so that the result is clearer.