Question
Easy
$\frac{(a − b + c)^2 – (a – b – c)^2}{b-a}$ is equal to :
1
b - c
2
c - a
3
- 4c
4
2c
Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: Algebra
Topic: Identities
Correct Answer
Option C
Explanation
To solve the expression \(\frac{(a - b + c)^2 - (a - b - c)^2}{b-a}\) and verify why Option 3, \(-4c\), is the correct answer, let's go through the steps: 1. Expand the Squares: - \((a - b + c)^2 = (a - b)^2 + 2(a - b)c + c^2\) - \((a - b - c)^2 = (a - b)^2 - 2(a - b)c + c^2\) 2. **Subtract the Two…Read More
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