What is simplify-x(3x-4y)-2xy(3x-4y)+4y(4y-3x) ?

The solution to simplify-x(3x-4y)-2xy(3x-4y)+4y(4y-3x) is -3x^2-8xy-6x^2y+8xy^2+16y^2

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simplify-x(3x-4y)-2xy(3x-4y)+4y(4y-3x)

simplify

- x (3 x - 4 y) - 2 x y (3 x - 4 y) + 4 y (4 y - 3 x)

- 3 x^{2} - 8 x y - 6 x^{2} y + 8 x y^{2} + 16 y^{2}

Solution steps

- x (3 x - 4 y) - 2 x y (3 x - 4 y) + 4 y (4 y - 3 x)

Expand

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

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

Expand

- 2 x y (3 x - 4 y) : - 6 x^{2} y + 8 x y^{2}

= - 3 x^{2} + 4 x y - 6 x^{2} y + 8 x y^{2} + 4 y (4 y - 3 x)

Expand

4 y (4 y - 3 x) : 16 y^{2} - 12 x y

= - 3 x^{2} + 4 x y - 6 x^{2} y + 8 x y^{2} + 16 y^{2} - 12 x y

Group like terms

= - 3 x^{2} + 4 x y - 12 x y - 6 x^{2} y + 8 x y^{2} + 16 y^{2}

Add similar elements:

4 x y - 12 x y = - 8 x y

= - 3 x^{2} - 8 x y - 6 x^{2} y + 8 x y^{2} + 16 y^{2}

(w^{0} x^{5})^{- 1}

(2 x + 4)^{4}

\frac{2}{4 - 3}

12 + (- 10)

\frac{3}{5} - \frac{1}{8}

What is simplify-x(3x-4y)-2xy(3x-4y)+4y(4y-3x) ?
The solution to simplify-x(3x-4y)-2xy(3x-4y)+4y(4y-3x) is -3x^2-8xy-6x^2y+8xy^2+16y^2