Add the following expressions: uv - vw, vw - wu and wu - uv

Solution:

Given, the expressions are uv - vw, vw - wu and wu - uv

We have to add the expressions

On adding the expressions,

= uv - vw + (vw - wu) + (wu - uv)

By combining like terms,

= uv - uv - vw + vw - wu + wu

By distributive property,

= (1 - 1)uv + (1 - 1)vw + (1- 1)wu

= (0)uv + (0)vw + (0)wu

= 0

Therefore, the sum of the expressions is 0.

✦ Try This: Add the following expressions: 2uv - 3vw, 5vw - 4wu and 3wu - 2uv

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 57 (g)

Add the following expressions: uv - vw, vw - wu and wu - uv

Summary:

On adding the expressions uv - vw, vw - wu and wu - uv, we get 0

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