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Descompune in factori:
14a - 49a² + 100b²-1


Răspuns :

14a - 49a² + 100b²-1= [tex] =100b^{2} -( 49a^{2} -14a +1) =(10b)^2-(7a-1)^2= [/tex][tex]=[10b+(7a-1)][(7a-1)-10b] = 49a^2-14a+1=(7a)^2-2*7a*1^2[/tex][tex]=(7a-1)^2[/tex]