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

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

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factor (x+y)^3-x^3-y^3

factor

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

3 x y (x + y)

Solution steps

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

Factor

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

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

Factor out common term

(x + y)

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

Expand

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

= 3 x y (x + y)

2 e - e^{2}

(4 b^{2} c^{4}) x

2 x^{n + 1} - 2 x^{n} + x^{n + 2}

\frac{x ^{2} - 6 x + 9}{x - 3}

p^{3} q^{3} - 343 r^{3} s^{3}

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