Question

simplify (x³-y³)³+(y³-z³)³+(2³-x³)³/(x-y)³+(y-z)³+(z-x)³​

Answer 1

Step-by-step explanation:

formula -.by using both formula

(a-b)^2=a^2+b^2-2ab

(a^3-b^3)=(a-b)(a^2+ab+b^2)

sol.

• (x^3-y^3)+(y^3-z^3)+(z^3-x^3)/(x-y)^3+(y-z)^3+(z-x)^3
• by using formu..(a^3-b^3)
• (x-y)(x^2+xy+y^2)+(y-z)(y^2+yz+z^2)+(z-x)(z^2+zx+x^2)/(x-y)^3+(y-z)^3+(z-x)^3
• (x^2+xyz^2)+(y^2+yz+z^2)+(z^2+zx+x^2)/(x-y)^2+(y-z)^2+(z-x)^2
• (x^2+xy+y^2)+(y^2+yz+z^2)+(z^2+zx+x^2)/(x^2+y^2-2xy)+(y^2+z^2-2yz)+(z^2+x^2-2zx)
• xy+yz+zx/-2xy-2yz-2zx

taking common -2

• xy+yz+zx/-2(xy+yz+zx)