What is expand (2x+3y)(-x+2x^2+3y^2) ?

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

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expand (2x+3y)(-x+2x^2+3y^2)

expand

(2 x + 3 y) (- x + 2 x^{2} + 3 y^{2})

- 2 x^{2} + 4 x^{3} + 6 x y^{2} - 3 x y + 6 x^{2} y + 9 y^{3}

Solution steps

(2 x + 3 y) (- x + 2 x^{2} + 3 y^{2})

Distribute parentheses

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

Simplify

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

= - 2 x^{2} + 4 x^{3} + 6 x y^{2} - 3 x y + 6 x^{2} y + 9 y^{3}

- 4 (10 u - 3) + 7 u

12 x^{2} + 16 x - 3

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

10 y - 6 (- 5 y + 2)

(- 6 x - 2) + (6 x^{2} - 5 x - 10)

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