What is expand (xy^5+z)(z-xy^5) ?

The solution to expand (xy^5+z)(z-xy^5) is z^2-x^2y^{10}

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expand (xy^5+z)(z-xy^5)

expand

(x y^{5} + z) (z - x y^{5})

z^{2} - x^{2} y^{10}

Solution steps

(x y^{5} + z) (z - x y^{5})

Apply Difference of Two Squares

(x y^{5} + z) (z - x y^{5}) : z^{2} - x^{2} y^{10}

= z^{2} - x^{2} y^{10}

(x - 5) (x - 3) (x + 5) (x + 3)

(- x^{2} + x - 4) - (3 x^{2} - 8 x - 2)

52 + 32

(4 x^{2} - 2 x + 8) + (x^{2} + 3 x - 2)

7 \cdot (- 7)

What is expand (xy^5+z)(z-xy^5) ?
The solution to expand (xy^5+z)(z-xy^5) is z^2-x^2y^{10}