Question

17. calculati si stabiliti care dintre numerele a si b este cel mai mare: a egal cu A EGAL CU 18 x 19+20x21-22x23+2xparanteza patrata 15+3x(40 la puterea a2a-39 la puterea a2a) B EGAL CU 2013x2012+2013x2011-2013x2022+7xparanteza patrata 9+2x(53 la puterea a 2a - 52 la puterea a 2a ) DAU COROANA

Answer 1

Răspuns:

a=18×19+20×21-22×23+2×[15+3×(40²-39²)

=342+420-506+2×(15+3×(1600-1521)]=

=256+2×(15+3×79)=

=256+2×(15+237)=

=256+2×252=

=256+504=

=760

b=2013×2012+2013×2011-2013×2022+7×[9+2x(53²-52²)]=

=2013(2012+2011-2022)+7×[9+2×(2809-2704)]=

=2013×2001+7×(9+2×105)=

=4028013+7×(9+210)=

=4028013+7×219=

=4028013+1533=

=4026490

b>a

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