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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