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

The solution to 4xy^2(3y-x)-2x^2(x-3y)^2 is -2x^4+12xy^3-22x^2y^2+12x^3y

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

simplify

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

- 2 x^{4} + 12 x y^{3} - 22 x^{2} y^{2} + 12 x^{3} y

Solution steps

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

Expand

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

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

Expand

- 2 x^{2} (x - 3 y)^{2} : - 2 x^{4} + 12 x^{3} y - 18 x^{2} y^{2}

= 12 x y^{3} - 4 x^{2} y^{2} - 2 x^{4} + 12 x^{3} y - 18 x^{2} y^{2}

Group like terms

= - 2 x^{4} + 12 x y^{3} - 4 x^{2} y^{2} - 18 x^{2} y^{2} + 12 x^{3} y

Add similar elements:

- 4 x^{2} y^{2} - 18 x^{2} y^{2} = - 22 x^{2} y^{2}

= - 2 x^{4} + 12 x y^{3} - 22 x^{2} y^{2} + 12 x^{3} y

(\frac{m ^{- 2} n}{2 m n ^{3}})^{2}

2 - [- 2 (x + 1) - \frac{x - 3}{2}] = \frac{2 x}{3} - \frac{5 x - 3}{12} + 3 x

12 = - 3 (x + 2)

(9 + 3 i) (9 - 3 i)

3 x + 2 + 5 (x - 1) = 8 x + 17

What is 4xy^2(3y-x)-2x^2(x-3y)^2 ?
The solution to 4xy^2(3y-x)-2x^2(x-3y)^2 is -2x^4+12xy^3-22x^2y^2+12x^3y