What is expand (x-y)^3+(x-y)^2+(x-y) ?

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

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expand (x-y)^3+(x-y)^2+(x-y)

expand

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

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

Solution steps

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

Apply rule:

a + (b + c) = a + b + c

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

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

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

Expand

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

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

18 x^{2} + 39 x y - 15 y^{2}

\frac{( 4 a ^{4} - 8 a ^{2} \cdot b ^{2} + 4 b ^{4} )}{( a ^{2} \cdot b - b ^{3} )}

(3 + 8) \cdot x^{6} - 42 - 7

\frac{1}{( x )}

x^{7} y^{7} - x y

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