The positive square root of (a + b)^2 - (c + d)^2 / (a + b)^2 - (c - d)^2 x (a + b + c)^2 - d^2 / (a + b - c)^2 - d^2

Question

The positive square root of \(\frac{(a + b)^2 - (c + d)^2}{(a + b)^2 - (c - d)^2} \times \frac{(a + b + c)^2 - d^2}{(a + b - c)^2 - d^2}\) using factorisation is:

(a) \(\frac{a + b + c + d}{a + b - c+ d} \)

(b) \(\frac{a + b + c -d}{a + b + c+ d} \)

(c) \(\frac{a + b - c + d}{a + b + c - d} \)

(d) \(\frac{a - b - c + d}{a + b +c+ d} \)

Answer 1

Correct option is (a) \(\frac{a + b + c + d}{a + b - c+ d} \)