If x+y+z=xyz, prove that: a) (3x-x^(3))/(1-3x^(2))+(3y-y^(3))/(1-3y^(2))+(3z-z^(3))/(1-3z^(2))= ...

Prove that x³+y³+z³-3xyz=(x+y+z) (x²+y²+z²-xy-yz-zx) Algebraic identity derivation | Bharat Kumar

x の書き方が間違っています ❌

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)/a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)

u=log(x^3 + y^3 + z^3 - 3xyz) の場合、(del/del x + de/del y+ del/del z)^2.u=-9/(x+y+ z)^2

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4.ii) show that: xyz = a³ + b³ If x=a+b, y=aω+bω², z=aω²+bω. complex cube root unity xyz= a^3 + b^3

偏微分：u=e^xyzのとき、(∂^3 u)/∂x∂y∂z=(1+3xyz+x^2 y^2 z^2 ) e^xyzであることを証明してください。

if u=e^xyz prove that del^3y by del x del y del z equal to (1 + 3xyz + x^2y^2z^2 || partial Differeb

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FACTORISATION OF x³+y³+z³-3xyz = (x+y+z) (x²+y²+z²-xy-yz-zx) | In Hindi

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##11 maths exercise 2.12-10 | if logx/ y-z = logy/z-x = logz/x-y then prove that x y z equal to 1