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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

- 1 \frac{1}{3}

(10 - 7 i) + (6 + 9 i)

(\frac{5}{6} a + \frac{3}{7} b)^{2}

\frac{2 x}{3} + \frac{1}{2}

(t + 2)^{4}

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