What is expand (x+y)(x^2+2xy+y^2) ?

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

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expand (x+y)(x^2+2xy+y^2)

expand

(x + y) (x^{2} + 2 x y + y^{2})

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

Solution steps

(x + y) (x^{2} + 2 x y + y^{2})

Distribute parentheses

= x x^{2} + x \cdot 2 x y + x y^{2} + y x^{2} + y \cdot 2 x y + y y^{2}

Simplify

x x^{2} + x \cdot 2 x y + x y^{2} + y x^{2} + y \cdot 2 x y + y y^{2} : x^{3} + 3 x y^{2} + y^{3} + 3 x^{2} y

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

\frac{x + 4 + \frac{3}{x}}{x - 4 - \frac{5}{x}}

sin^{3} (x) + sin (x) cos^{2} (x)

(r cos (x))^{2}

- 4 x + 3 x

\frac{4}{3} - \frac{12}{5}

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