Class 8 Exam > Class 8 Questions > The addition of ab-bc, bc-ca, ca-ab isa)3ab+3...
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The addition of ab-bc, bc-ca, ca-ab is
- a)3ab+3bc+3ca
- b)0
- c)ab+bc+ca
- d)ab-bc+ca
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The addition of ab-bc, bc-ca, ca-ab isa)3ab+3bc+3ca b)0c)ab+bc+cad)ab...
Explanation:
To simplify the given expression, let's break it down step by step.
Given expression: ab-bc + bc-ca + ca-ab
Step 1: Combine like terms
The terms ab and -ab cancel each other out since they have opposite signs. Similarly, the terms bc and -bc, as well as ca and -ca, cancel each other out.
ab-bc + bc-ca + ca-ab = 0
Step 2: Simplify
The sum of zero and any number is equal to that number. Therefore, the simplified expression is:
0 + 0 + 0 = 0
Final answer: Option B (0)
Summary:
The given expression, ab-bc + bc-ca + ca-ab, simplifies to zero (0). This is because the terms with opposite signs cancel each other out, resulting in a sum of zero.
To simplify the given expression, let's break it down step by step.
Given expression: ab-bc + bc-ca + ca-ab
Step 1: Combine like terms
The terms ab and -ab cancel each other out since they have opposite signs. Similarly, the terms bc and -bc, as well as ca and -ca, cancel each other out.
ab-bc + bc-ca + ca-ab = 0
Step 2: Simplify
The sum of zero and any number is equal to that number. Therefore, the simplified expression is:
0 + 0 + 0 = 0
Final answer: Option B (0)
Summary:
The given expression, ab-bc + bc-ca + ca-ab, simplifies to zero (0). This is because the terms with opposite signs cancel each other out, resulting in a sum of zero.
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