What is expand (x^2-y^2)z+(y^2-z^2)x ?

The solution to expand (x^2-y^2)z+(y^2-z^2)x is x^2z-y^2z+xy^2-xz^2

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expand (x^2-y^2)z+(y^2-z^2)x

expand

(x^{2} - y^{2}) z + (y^{2} - z^{2}) x

x^{2} z - y^{2} z + x y^{2} - x z^{2}

Solution steps

(x^{2} - y^{2}) z + (y^{2} - z^{2}) x

= z (x^{2} - y^{2}) + x (y^{2} - z^{2})

Expand

z (x^{2} - y^{2}) : x^{2} z - y^{2} z

= x^{2} z - y^{2} z + x (y^{2} - z^{2})

Expand

x (y^{2} - z^{2}) : x y^{2} - x z^{2}

= x^{2} z - y^{2} z + x y^{2} - x z^{2}

- 2 a^{2} x^{3} - 4 a^{2} x^{2} - 2 a^{2} x

f^{8} (x)

(2 x^{2} y^{3})^{0}

216 m^{3} - 64 n^{3}

81 a^{4} - 16 b^{4}

What is expand (x^2-y^2)z+(y^2-z^2)x ?
The solution to expand (x^2-y^2)z+(y^2-z^2)x is x^2z-y^2z+xy^2-xz^2