What is (x-y)^3+8y^3 ?

The solution to (x-y)^3+8y^3 is x^3-3x^2y+3xy^2+7y^3

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simplify (x-y)^3+8y^3

simplify

(x - y)^{3} + 8 y^{3}

x^{3} - 3 x^{2} y + 3 x y^{2} + 7 y^{3}

Solution steps

(x - y)^{3} + 8 y^{3}

Expand

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

= x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3} + 8 y^{3}

Add similar elements:

- y^{3} + 8 y^{3} = 7 y^{3}

= x^{3} - 3 x^{2} y + 3 x y^{2} + 7 y^{3}

- 12 x^{2} + 6 x + 18

x^{6} + 2 x^{4} + x^{2}

(\frac{x}{2 - y})^{3}

(x + 3) (y + 2)

((x^{2} \cdot y) + ((2 \cdot x) \cdot y) + (c \cdot x) + (2 \cdot c))^{3}