The value of (a² - (b - c)²)/((a + c)² - b²) + ((b² - (a - c)²)/((a + b)² - c²) + (c² - (a - b)²)/((b + c)² - a²) is:

The value of (a² - (b - c)²)/((a + c)² - b²) + ((b² - (a…

The value of $\frac{{a^2 - (b - c)^2}}{(a + c)^2 - b^2} + \frac{(b^2 - (a - c)^2}{(a + b)^2 - c^2} + \frac{{c^2 - (a - b)^2}}{(b + c)^2 - a^2}$ is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1

Calculations:

lets equate a = b = c

⇒ [a²/(4a² - a²)] + [a²/(4a² - a²)] + [a²/(4a² - a²)]

⇒ [a²/3a²] + [a²/3a²] + [a²/3a²]

⇒ 1/3 + 1/3 + 1/3

⇒ (1 + 1 + 1)/3

⇒ 3/3 = 1