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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add the numbers:

1 + 4 = 5

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

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Frequently Asked Questions (FAQ)

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