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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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