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Descompuneti in factori folosind formula factorului comun:
a)9-(2b+3)²=
b)16c²-(3c+5d)²=
c)9(5m-4p)²-64m²=


Răspuns :

[tex]a)9-(2b+3)^2=(3-2b-3)(3+2b+3)=-2b(6+2b)=-4b(3+b)\\ b)16c^2-(3c+5d)^2=(4c-3c-5d)(4c+3c+5d)=(c-5d)(7c+5d)\\ c)9(5m-4p)^2-64m^2=[3(5m-4p)-8m][3(5m-4p)+8m]=\\ =(15m-12p-8m)(15m-12p+8m)=(7m-12p)(23m-12p)[/tex]