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Popular >

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

Solution

simplify

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

Solution

x^{2} - 6 x + y^{2} + 4 y + 13

Solution steps

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

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= x^{2} - 6 x + 9 + (y + 2)^{2}

Expand

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

= x^{2} - 6 x + 9 + y^{2} + 4 y + 4

Group like terms

= x^{2} - 6 x + y^{2} + 4 y + 9 + 4

Add the numbers:

9 + 4 = 13

= x^{2} - 6 x + y^{2} + 4 y + 13

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Frequently Asked Questions (FAQ)

What is (x-3)^2+(y+2)^2 ?
The solution to (x-3)^2+(y+2)^2 is x^2-6x+y^2+4y+13