What is expand (a-x-y)^3 ?

The solution to expand (a-x-y)^3 is a^3-x^3-3xa^2-3a^2y+3ax^2-3x^2y+3ay^2-3xy^2+6axy-y^3

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expand (a-x-y)^3

expand

(a - x - y)^{3}

a^{3} - x^{3} - 3 x a^{2} - 3 a^{2} y + 3 a x^{2} - 3 x^{2} y + 3 a y^{2} - 3 x y^{2} + 6 a x y - y^{3}

Solution steps

(a - x - y)^{3}

Simplify

(a - x - y)^{3} : (a - x - y) (a - x - y) (a - x - y)

= (a - x - y) (a - x - y) (a - x - y)

Expand

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

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

Distribute parentheses

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

Simplify

a^{2} a + a^{2} (- x) + a^{2} (- y) + x^{2} a + x^{2} (- x) + x^{2} (- y) - 2 a x a - 2 a x (- x) - 2 a x (- y) - 2 a y a - 2 a y (- x) - 2 a y (- y) + 2 x y a + 2 x y (- x) + 2 x y (- y) + y^{2} a + y^{2} (- x) + y^{2} (- y) : a^{3} - x^{3} - 3 x a^{2} - 3 a^{2} y + 3 a x^{2} - 3 x^{2} y + 3 a y^{2} - 3 x y^{2} + 6 a x y - y^{3}

= a^{3} - x^{3} - 3 x a^{2} - 3 a^{2} y + 3 a x^{2} - 3 x^{2} y + 3 a y^{2} - 3 x y^{2} + 6 a x y - y^{3}

(w^{5})^{4}

\frac{4}{7} \cdot 0.75

10000 + 20 x - 100 x - 2 x^{2}

2 h^{2} + o^{22} h_{2} o

3 (x - 7) + 4 (x^{2} - 2 x + 9)

What is expand (a-x-y)^3 ?
The solution to expand (a-x-y)^3 is a^3-x^3-3xa^2-3a^2y+3ax^2-3x^2y+3ay^2-3xy^2+6axy-y^3