What is the sum of `a + b - 1 b - a + 1 and 1 - 2b​`

Integers a,b,c satisfy a+b-c=1 and a^(2)+b^(2)-c^(2)=-1 What is the sum of all possible values of a^(2)+b^(2)+c^(2)?

If a b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b)) ? (a) 0 (b) 1 (c) 3 (d) a+b+c

Find the sum : (a) 1 1/4+1 1/2 (b) 1 1/4+2 1/3

The sum of the coefficients in the monomials 3a^2b and -2a b^2 is 5 (b) -1 1 (d) -6

If 97/19 = a+ 1/(b+1/c) where a, b and c are positive integers, then what is the sum of a, b and c?

Let A=[[2,0,1],[1,1,0],[1,0,1]],B=[B_(1),B_(2),B_(3)] ,where B_(1),B_(2),B_(3) are column matrics,and [AB_(1)=[[1],[0],[0]],AB_(2)=[[2],[3],[0]],AB_(3)=[[3],[2],[1]]] If alpha=|B| and beta is the sum of all the diagonal elements of "B" ,then alpha^(3)+beta^(3) is equal to

There are three numbers a, b and c, such that: a : b : c = 2 : 3 : 1. The sum of a, b and c is 120. Find b.