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Consider some terms: $5 m − 7 n, 3 n − 4 m + 2, 2 m − 3 m n − 5$
The addition of above terms gives $3 m − 4 n − 3 m n − 3$ .

Is the above statement true?

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True

False

answer is A.

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Detailed Solution

Like terms are those terms which have the same variables and powers.
e.g.,

(A x, − A x) and (A, 2 A)

Therefore, they are like terms.
Now, adding these terms, we get

5 m − 7 n + 3 n − 4 m + 2 + 2 m − 3 m n − 5 = 5 m − 4 m + 2 m − 7 n + 3 n − 3 m n + 2 − 5 = 3 m − 4 n − 3 m n − 3

Hence, the addition of

5 m − 7 n, 3 n − 4 m + 2, 2 m − 3 m n − 5

terms gives

3 m − 4 n − 3 m n − 3

.
Hence, the given statement addition of

5 m − 7 n, 3 n − 4 m + 2, 2 m − 3 m n − 5

terms gives

3 m − 4 n − 3 m n − 3

is true.
Therefore, the correct option is 1.

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