Răspuns: Ai rezolvarea mai jos
Explicație pas cu pas:
[tex]\bf \big(2005\cdot 2006+2004\cdot2005\big)^{2}=[/tex]
[tex]\bf \big[2005\cdot\big(2006+2004\big)\big]^{2}=[/tex]
[tex]\bf \big(2005\cdot4010\big)^{2}=\big(2005\cdot2\cdot2005\big)^{2}=[/tex]
[tex]\bf \big(2005^{1+1}\cdot2\big)^{2}=\big(2005^{2}\cdot2\big)^{2}=[/tex]
[tex]\bf 2005^{2\cdot2}\cdot2^{2}=\red{\underline{~2005^{4}\cdot2^{2}~} }[/tex]
