What is expand (x^5-2y)(x^{10}+2x^5y+4y^2) ?

The solution to expand (x^5-2y)(x^{10}+2x^5y+4y^2) is x^{15}+4x^5y^2-8y^3-4y^2x^5

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expand (x^5-2y)(x^{10}+2x^5y+4y^2)

expand

(x^{5} - 2 y) (x^{10} + 2 x^{5} y + 4 y^{2})

x^{15} + 4 x^{5} y^{2} - 8 y^{3} - 4 y^{2} x^{5}

Solution steps

(x^{5} - 2 y) (x^{10} + 2 x^{5} y + 4 y^{2})

Distribute parentheses

= x^{5} x^{10} + x^{5} \cdot 2 x^{5} y + x^{5} \cdot 4 y^{2} - 2 y x^{10} - 2 y \cdot 2 x^{5} y - 2 y \cdot 4 y^{2}

Simplify

x^{5} x^{10} + x^{5} \cdot 2 x^{5} y + x^{5} \cdot 4 y^{2} - 2 y x^{10} - 2 y \cdot 2 x^{5} y - 2 y \cdot 4 y^{2} : x^{15} + 4 x^{5} y^{2} - 8 y^{3} - 4 y^{2} x^{5}

= x^{15} + 4 x^{5} y^{2} - 8 y^{3} - 4 y^{2} x^{5}

5288

\frac{1}{9} + \frac{1}{3} + \frac{1}{4}

8 x^{3} - 10 x^{2} - 17 x + 10

- 2 x^{2} - x + 3

\frac{2}{5} \times \frac{2}{3}

What is expand (x^5-2y)(x^{10}+2x^5y+4y^2) ?
The solution to expand (x^5-2y)(x^{10}+2x^5y+4y^2) is x^{15}+4x^5y^2-8y^3-4y^2x^5