Question

Solve the  following Algebraic Expressions

(i) ab − bc, bc − ca, ca − ab

(ii) a − b + ab, b − c + bc, c − a + ac

(iii) 2p²q² − 3pq + 4, 5 + 7pq − 3p²q²

(iv) l² + m², m² + n², n² + l², 2lm + 2mn + 2nl

Answer 1

The given expressions written in separate rows, with like terms one below the other and then the addition of these expressions are as follows.  (i)  

Thus, the sum of the given expressions is 0.

(ii) 

Thus, the sum of the given expressions is ab + bc + ac.

(iii)

Thus, the sum of the given expressions is −p²q² + 4pq + 9.

(iv)

Thus, the sum of the given expressions is 2(l² + m² + n² + lm + mn + nl).