Question

Calcul prin factor comun

a) 2004 + 2004 ∙ 3;
b) 2004 + 2004 ∙ 2004 + 2005;
c) 2001 ∙ 25 + 75 ∙ (5001 – 3000);
d) 2004 + 2004 ∙ 2005 – 2006 ∙ 2003

Answer 1

a)2004(1+3) =2004•4 = 8016 b)2004(1+2004)+2005 = 2004•2005 +2005 = 2005( 2004+1)= 2005•2005=$2005^{2}$ c)2001•25+ 75•2001= 2001 (25+75)=2001 • 100=200100 d)2004(1+2005)-2006•2003=2004•2006-2006•2003=2006(2004-2003)=2006•1=2006