Solution 2.1:3a
From Förberedande kurs i matematik 1
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If we look at the expression, we see that it can be written as <math>x^2-6^2</math> and can therefore be factorized using the conjugate rule. | If we look at the expression, we see that it can be written as <math>x^2-6^2</math> and can therefore be factorized using the conjugate rule. | ||
Revision as of 06:34, 21 August 2008
If we look at the expression, we see that it can be written as \displaystyle x^2-6^2 and can therefore be factorized using the conjugate rule.
- \displaystyle x^2-36=x^2-6^2=(x+6)(x-6).
Because the factors \displaystyle x+6 and \displaystyle x-6 are linear expressions, they cannot be factorized any further (as polynomial factors).