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Det här är en översatt version av sidan Kvadreringsreglerna *Rules*. Översättningen är till 100% färdig och uppdaterad.


Multiplying Perfect Squares

When two similar expressions like (x+2)(x+2)(x+2)(x+2) or (2x3)(2x3),(2x-3)(2x-3), are multiplied, you can simplify the calculations by using the rules for perfect squares. Parenthesis are rewritten as squares with two terms: (x+2)2eller(2x3)2. (x+2)^2 \quad \text{eller} \quad (2x-3)^2. Slightly different rules are used, however, depending on if there is a plus or minus sign between the terms,

"Positive" Perfect Squares

If there is a "plus" sign between the terms you can use the following square rule:

Rule

(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2
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"Negative" Perfect Squares

If there is a negative sign between the terms in the parenthesis you can use the following square rule:

Rule

(ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2
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