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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add the numbers:

1 + 1 = 2

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

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Frequently Asked Questions (FAQ)

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