What is expand (3x+6y)(x^2+4xy-5y^2) ?

The solution to expand (3x+6y)(x^2+4xy-5y^2) is 3x^3+18x^2y+9xy^2-30y^3

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expand (3x+6y)(x^2+4xy-5y^2)

expand

(3 x + 6 y) (x^{2} + 4 x y - 5 y^{2})

3 x^{3} + 18 x^{2} y + 9 x y^{2} - 30 y^{3}

Solution steps

(3 x + 6 y) (x^{2} + 4 x y - 5 y^{2})

Distribute parentheses

= 3 x x^{2} + 3 x \cdot 4 x y + 3 x (- 5 y^{2}) + 6 y x^{2} + 6 y \cdot 4 x y + 6 y (- 5 y^{2})

Simplify

3 x x^{2} + 3 x \cdot 4 x y + 3 x (- 5 y^{2}) + 6 y x^{2} + 6 y \cdot 4 x y + 6 y (- 5 y^{2}) : 3 x^{3} + 18 x^{2} y + 9 x y^{2} - 30 y^{3}

= 3 x^{3} + 18 x^{2} y + 9 x y^{2} - 30 y^{3}

\frac{8}{5 x ^{- 2}}

- 2 y + 7 y + 4

\frac{e ^{- 0.001} - 1}{- 0.001}

\frac{7}{10} - \frac{1}{18}

x^{3} - x^{2} - 16 x - 20

What is expand (3x+6y)(x^2+4xy-5y^2) ?
The solution to expand (3x+6y)(x^2+4xy-5y^2) is 3x^3+18x^2y+9xy^2-30y^3