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

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

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simplify 3xy^3+x(x-y)^3

simplify

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

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

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

z^{3}

\frac{e ^{2} x}{e ^{x}}

d^{4} - 3 d^{3} + 3 d^{2} - d

x^{3} + 11 x^{2} + 15 x - 27

(7 x^{2} - 5 y^{4})^{5}

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