What is expand 5x^2(x+2y)(x^2-2xy+4y^2) ?

The solution to expand 5x^2(x+2y)(x^2-2xy+4y^2) is 5x^5+40x^2y^3

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expand 5x^2(x+2y)(x^2-2xy+4y^2)

expand

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

5 x^{5} + 40 x^{2} y^{3}

Solution steps

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

Expand

5 x^{2} (x + 2 y) : 5 x^{3} + 10 x^{2} y

= (5 x^{3} + 10 x^{2} y) (x^{2} - 2 x y + 4 y^{2})

Distribute parentheses

= 5 x^{3} x^{2} + 5 x^{3} (- 2 x y) + 5 x^{3} \cdot 4 y^{2} + 10 x^{2} y x^{2} + 10 x^{2} y (- 2 x y) + 10 x^{2} y \cdot 4 y^{2}

Simplify

5 x^{3} x^{2} + 5 x^{3} (- 2 x y) + 5 x^{3} \cdot 4 y^{2} + 10 x^{2} y x^{2} + 10 x^{2} y (- 2 x y) + 10 x^{2} y \cdot 4 y^{2} : 5 x^{5} + 40 x^{2} y^{3}

= 5 x^{5} + 40 x^{2} y^{3}

3 \frac{2}{3} - 2 \frac{3}{2}

(8) (- 5)

\frac{7}{10} \div \frac{2}{5}

4 + 2

(\frac{- 3}{2})^{4}

What is expand 5x^2(x+2y)(x^2-2xy+4y^2) ?
The solution to expand 5x^2(x+2y)(x^2-2xy+4y^2) is 5x^5+40x^2y^3