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Popular >

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

Solution

simplify

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

Solution

x^{2} - 4 x + y^{2} - 2 y + 5

Solution steps

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 + (y - 1)^{2}

Expand

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

= x^{2} - 4 x + 4 + y^{2} - 2 y + 1

Group like terms

= x^{2} - 4 x + y^{2} - 2 y + 4 + 1

Add the numbers:

4 + 1 = 5

= x^{2} - 4 x + y^{2} - 2 y + 5

Popular Examples

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(b + 4)^{2}

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Frequently Asked Questions (FAQ)

What is (x-2)^2+(y-1)^2 ?
The solution to (x-2)^2+(y-1)^2 is x^2-4x+y^2-2y+5