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

The solution to expand (2x-3y)(x^2+6y^2-4xy) is 2x^3+24xy^2-18y^3-11x^2y

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

expand

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

2 x^{3} + 24 x y^{2} - 18 y^{3} - 11 x^{2} y

Solution steps

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

Distribute parentheses

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

Simplify

2 x x^{2} + 2 x \cdot 6 y^{2} + 2 x (- 4 x y) - 3 y x^{2} - 3 y \cdot 6 y^{2} - 3 y (- 4 x y) : 2 x^{3} + 24 x y^{2} - 18 y^{3} - 11 x^{2} y

= 2 x^{3} + 24 x y^{2} - 18 y^{3} - 11 x^{2} y

6 x^{2} \cdot 3 x

(- 5) \cdot (- 5)

(1 0^{5})^{2}

4 x^{3} \cdot x^{2}

(2 + 3 i) - (4 + 5 i)

What is expand (2x-3y)(x^2+6y^2-4xy) ?
The solution to expand (2x-3y)(x^2+6y^2-4xy) is 2x^3+24xy^2-18y^3-11x^2y