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Simplify the expression s2+t2+2st−u2s2−t2−2tu−u2\frac{s^2 +t^2 + 2st -u^2 }{s^2 -t^2 -2tu -u^2}s2−t2−2tu−u2s2+t2+2st−u2​​​provided (s+t+u) ≠ 0.
Question

Simplify the expression s2+t2+2stu2s2t22tuu2\frac{s^2 +t^2 + 2st -u^2 }{s^2 -t^2 -2tu -u^2}​​

provided (s+t+u) ≠ 0.

A.

stus+tu\frac{s -t -u}{s+t-u}​​

B.

s+t+ust+u\frac{s+t+u}{s-t+u}​​

C.

s+tustu\frac{s+t-u}{s-t-u}​​

D.

st+us+t+u\frac{s -t +u}{s+t+u}​​

Correct option is C

Given: 
s2+t2+2stu2s2t22tuu2\frac{ s^2+t^2+2st-u^2}{s^2-t^2-2tu-u^2}  
s + t + u = 0
Formula Used: 
a2b2=(a+b)(ab)a^2-b^2 = (a+b)(a-b) 
Solution:

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