Question

São dados os polinômios :
P1= a+b+c
P2= a-b+c
P3= a+b-c
Determine :
a) P1+P2+P3
b)P1+P2-P3
c) P1-P2+P3
d) P1-P2-P3

Answer 1

P1= a+b+c
P2= a-b+c
P3= a+b-c

a) P1+P2+P3=
(a+b+c)+(a-b+c)+(a+b-c)=
a+b+c+a-b+c+a+b-c=
3a+b+c

b)P1+P2-P3=
(a+b+c)+(a-b+c)-(a+b-c)=
a+b+c+a-b+c-a-b+c=
a-b+3c

c) P1-P2+P3=
(a+b+c)-(a-b+c)+(a+b-c)=
a+b+c-a+b-c+a+b-c=
a+3b-c

d) P1-P2-P3=
(a+b+c)-(a-b+c)-(a+b-c)=
a+b+c-a+b-c-a-b+c=
-a+b+c