Question

8- Dados os polinômios P = a + b + c ; Q = a – b – c ; R= a + b – c determine
a)P + Q + R b) P + Q – R c) P – Q + R d) P – Q – R

Answer 1

$P = a + b + c \\ Q = a - b - c \\ R= a + b - c \\ \\ P + Q+R=a+b+c+a-b-c+a+b-c = 3a+b-c \\ P+Q-R= a+b+c+a-b-c-a-b+c= a-b+c \\ P-Q+R = a+b+c-a+b+c+a+b-c=a+3b+c  \\  P-Q-R=a+b+c-a+b+c-a-b+c= -a+b+3c$