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Popular >

simplify (x-3)^2+(y-4)^2

Solution

simplify

(x - 3)^{2} + (y - 4)^{2}

Solution

x^{2} - 6 x + y^{2} - 8 y + 25

Solution steps

(x - 3)^{2} + (y - 4)^{2}

Expand

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

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

Expand

(y - 4)^{2} : y^{2} - 8 y + 16

= x^{2} - 6 x + 9 + y^{2} - 8 y + 16

Group like terms

= x^{2} - 6 x + y^{2} - 8 y + 9 + 16

Add the numbers:

9 + 16 = 25

= x^{2} - 6 x + y^{2} - 8 y + 25

Popular Examples

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Frequently Asked Questions (FAQ)

What is (x-3)^2+(y-4)^2 ?
The solution to (x-3)^2+(y-4)^2 is x^2-6x+y^2-8y+25