Question

3
Aratati ca

a) (abbab - 2b): 7
b) (ab + bc ca): 11
c)( 1a1 - 1a + 8 ): 9
d) ( abc + bca + cab) : 37​

Answer 1

Răspuns:

Explicație pas cu pas:

a)10000a+1000b+100b+10a+b-2b=

10a(1000+1) + b(1000+100-1)=

10a*10001 + b*1099 =

10a*7*243 + b*7**157 = m(7)

b) 10(a+b+c) +(a+b+c) =

(a+b+c)*(10+1) = m(11)

c) 100+10a+1-10a-1 =

100+8 = 9*12 = m(9)

d) 100(a+b+c) + 10(a+b+c) + (a+b+c) =

(a+b+c)(100+10+1) =

(a+b+c)*111 = (a+b+c)*3*37 = m(37)