What is (x-1)^2+(y-1)^3 ?

The solution to (x-1)^2+(y-1)^3 is x^2-2x+y^3-3y^2+3y

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simplify (x-1)^2+(y-1)^3

simplify

(x - 1)^{2} + (y - 1)^{3}

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

Solution steps

(x - 1)^{2} + (y - 1)^{3}

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= x^{2} - 2 x + 1 + (y - 1)^{3}

Expand

(y - 1)^{3} : y^{3} - 3 y^{2} + 3 y - 1

= x^{2} - 2 x + 1 + y^{3} - 3 y^{2} + 3 y - 1

Group like terms

= x^{2} - 2 x + y^{3} - 3 y^{2} + 3 y + 1 - 1

Subtract the numbers:

1 - 1 = 0

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

2 x (3 x^{3} - 5 x^{2} + 7 x - 5)

(\frac{x + 4}{3 y ^{2}})^{2}

17.8 x 1 0^{3} - 4.5 x 1 0^{3}

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

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