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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

\frac{1}{2} x

4 (8 p + 1)

\frac{4 x ^{2} - 1}{2 x + 1}

- a \cdot (- b)

3 h^{4} + h^{3}

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