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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

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

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

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

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

2 + \frac{1}{8}

44 \cdot 3

\frac{\frac{243.21956}{64}}{78125} \cdot 1 0^{4}

\frac{( 4 d ) ^{2}}{2 d ^{7}}

\frac{200}{300}

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