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Descompuneti in factori aplicand formula a *2 -b*2=(a+b) (a-b) :

A ) ( x + radical din 2 ) *2 - (2 radical din 2 ) *2
B) (x - radical din 5 ) *2 - (3- radical din 5)*3


Răspuns :

A) [tex] (x+ \sqrt{2} )^{2} - (2 \sqrt{2} )^{2} =(x+ \sqrt{2}+2 \sqrt{2})(x+ \sqrt{2} -2 \sqrt{2})[/tex][tex]=(x+3 \sqrt{2})(x- \sqrt{2} )[/tex]
B)[tex] (x- \sqrt{5} )^{2}- (3- \sqrt{5} )^{2}=(x- \sqrt{5}+3- \sqrt{5})(x- \sqrt{5}-3+ \sqrt{5} ) [/tex][tex]=(x+3-2 \sqrt{5})(x-3)[/tex]