b. m+n+p=2019
mx2+nx2+px2=2019
(m+n+p) x2=2019
(m+n+p)=2019:2
(m+n+p)=1009,5
ta có:
a, m x 2 + n x 2 + p x 2
= 2 x ( m + n + p )
Với m = 2006 ; n = 2007 ; p = 2008 thì:
2 x ( m + n + p )
= 2 x ( 2006 + 2007 + 2008 )
= 2 x 6021
= 12042
b, m x 2 + n x 2 + p x 2
= 2 x ( m + n + p )
Vì m + n + p = 2009 nên:
2 x ( m + n + p )
= 2 x 2009
= 4018