[tex]a)\ x^2+2x+1=x^2+2x+1^2=(x+1)^2\\\\b)\ 9-6x+x^2=3^2-6x+x^2=(3-x)^2\\\\c)\ 4x^2+4x+1=(2x)^2+4x+1^2=(2x+1)^2\\\\d)\ y^2-8y+16=y^2-8y+4^2=(y-4)^2\\\\e)\ 49+14y+y^2=7^2+14y+y^2=(7+y)^2\\\\f)\ -2mn+m^2+n^2=m^2-2mn+n^2=(m-n)^2[/tex]
Wzory:
[tex]a^2+2ab+b^2=(a+b)^2\\\\a^2-2ab+b^2=(a-b)^2[/tex]
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[tex]a)\ x^2+2x+1=x^2+2x+1^2=(x+1)^2\\\\b)\ 9-6x+x^2=3^2-6x+x^2=(3-x)^2\\\\c)\ 4x^2+4x+1=(2x)^2+4x+1^2=(2x+1)^2\\\\d)\ y^2-8y+16=y^2-8y+4^2=(y-4)^2\\\\e)\ 49+14y+y^2=7^2+14y+y^2=(7+y)^2\\\\f)\ -2mn+m^2+n^2=m^2-2mn+n^2=(m-n)^2[/tex]
Wzory:
[tex]a^2+2ab+b^2=(a+b)^2\\\\a^2-2ab+b^2=(a-b)^2[/tex]