Korzystamy z następujących wzorów:

${\left(a+b\right)}^2=a^2+2ab+b^2$  

${\left(a-b\right)}^2=a^2-2ab+b^2$  



$a\text{)}{x}^2+4x+4=x^2+2\cdot 2x\cdot 2^2={\left(x+2\right)}^2$    

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$b\text{)}4a^2+12ab+9b^2={\left(2a\right)}^2+2\cdot 2a\cdot 3b+{\left(3b\right)}^2={\left(2a+3b\right)}^2$  

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$c\text{)}{a}^2-6a+9=a^2-2\cdot 3a+3^2={\left(a-3\right)}^2$  

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$d\text{)}36y^2-12y+1={\left(6y\right)}^2-2\cdot 6y+1^2={\left(6y-1\right)}^2$  

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$e\text{)}144-48b+4b^2={12}^2-2\cdot 12\cdot 2b+{\left(2b\right)}^2={\left(12-2b\right)}^2$  

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$f\text{)}25x^2+xy+0,01y^2={\left(5x\right)}^2+2\cdot 5x\cdot 0,1y={\left(5x+0,1y\right)}^2$