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Addition and Subtraction of Algebraic Expression

Add the follo...

Question

Add the following.

(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

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Solution

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).

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