What is expand (x-y)(x+y)(2x+y) ?

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

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expand (x-y)(x+y)(2x+y)

expand

(x - y) (x + y) (2 x + y)

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

Solution steps

(x - y) (x + y) (2 x + y)

Apply Difference of Two Squares

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

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

Apply FOIL method

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

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

1 - p^{6}

\frac{5}{6} + \frac{4}{9}

\frac{10}{x ^{2} + 3 x} + \frac{15}{x ^{2}}

(1 - a)^{2}

x^{2} - 5 x + \frac{25}{4}

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