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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

- 3 x - 2

x^{3} + 3 x^{2} + 25 x + 75

(x - 5)^{4}

x^{4} + 3 x^{2} + 4

\frac{9}{0}

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